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Finding the Fourth Proportional to 11,970.64, 17,944.86 and 5,303.60

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Solution

The fourth proportional to 11,970.64, 17,944.86 and 5,303.60 is: 7,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.64 : 17,944.86 = 5,303.60 : x
  2. Step 2: Convert to fraction form
    11,970.64/17,944.86 = 5,303.60/x
  3. Step 3: Cross multiply
    11,970.64x = 17,944.86 × 5,303.60
  4. Step 4: Simplify right side
    11,970.64x = 95,172,359.50
  5. Step 5: Solve for x
    x = 95,172,359.50/11,970.64
  6. Step 6: Final answer
    x = 7,950.48

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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.