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Finding the Fourth Proportional to 10,000.16, 15,002.06 and 5,005.14

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Solution

The fourth proportional to 10,000.16, 15,002.06 and 5,005.14 is: 7,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.16 : 15,002.06 = 5,005.14 : x
  2. Step 2: Convert to fraction form
    10,000.16/15,002.06 = 5,005.14/x
  3. Step 3: Cross multiply
    10,000.16x = 15,002.06 × 5,005.14
  4. Step 4: Simplify right side
    10,000.16x = 75,087,410.59
  5. Step 5: Solve for x
    x = 75,087,410.59/10,000.16
  6. Step 6: Final answer
    x = 7,508.62

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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.