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Finding the Fourth Proportional to 10,538.40, 15,807.60 and 10,052.40

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Solution

The fourth proportional to 10,538.40, 15,807.60 and 10,052.40 is: 15,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.40 : 15,807.60 = 10,052.40 : x
  2. Step 2: Convert to fraction form
    10,538.40/15,807.60 = 10,052.40/x
  3. Step 3: Cross multiply
    10,538.40x = 15,807.60 × 10,052.40
  4. Step 4: Simplify right side
    10,538.40x = 158,904,318.24
  5. Step 5: Solve for x
    x = 158,904,318.24/10,538.40
  6. Step 6: Final answer
    x = 15,078.60

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