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Finding the Fourth Proportional to 10,002.68, 15,004.02 and 3,428.92

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Solution

The fourth proportional to 10,002.68, 15,004.02 and 3,428.92 is: 5,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.68 : 15,004.02 = 3,428.92 : x
  2. Step 2: Convert to fraction form
    10,002.68/15,004.02 = 3,428.92/x
  3. Step 3: Cross multiply
    10,002.68x = 15,004.02 × 3,428.92
  4. Step 4: Simplify right side
    10,002.68x = 51,447,567.11
  5. Step 5: Solve for x
    x = 51,447,567.11/10,002.68
  6. Step 6: Final answer
    x = 5,143.38

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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.