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Finding the Fourth Proportional to 10,007.94, 15,013.80 and 4,165.02

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Solution

The fourth proportional to 10,007.94, 15,013.80 and 4,165.02 is: 6,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.94 : 15,013.80 = 4,165.02 : x
  2. Step 2: Convert to fraction form
    10,007.94/15,013.80 = 4,165.02/x
  3. Step 3: Cross multiply
    10,007.94x = 15,013.80 × 4,165.02
  4. Step 4: Simplify right side
    10,007.94x = 62,532,777.28
  5. Step 5: Solve for x
    x = 62,532,777.28/10,007.94
  6. Step 6: Final answer
    x = 6,248.32

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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.