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Finding the Fourth Proportional to 11,901.60, 17,840.16 and 8,007.12

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Solution

The fourth proportional to 11,901.60, 17,840.16 and 8,007.12 is: 12,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.60 : 17,840.16 = 8,007.12 : x
  2. Step 2: Convert to fraction form
    11,901.60/17,840.16 = 8,007.12/x
  3. Step 3: Cross multiply
    11,901.60x = 17,840.16 × 8,007.12
  4. Step 4: Simplify right side
    11,901.60x = 142,848,301.94
  5. Step 5: Solve for x
    x = 142,848,301.94/11,901.60
  6. Step 6: Final answer
    x = 12,002.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.