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Finding the Fourth Proportional to 11,478.60, 15,840.36 and 7,002.06

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Solution

The fourth proportional to 11,478.60, 15,840.36 and 7,002.06 is: 9,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.60 : 15,840.36 = 7,002.06 : x
  2. Step 2: Convert to fraction form
    11,478.60/15,840.36 = 7,002.06/x
  3. Step 3: Cross multiply
    11,478.60x = 15,840.36 × 7,002.06
  4. Step 4: Simplify right side
    11,478.60x = 110,915,151.14
  5. Step 5: Solve for x
    x = 110,915,151.14/11,478.60
  6. Step 6: Final answer
    x = 9,662.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.