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Finding the Fourth Proportional to 10,004.68, 15,007.02 and 3,430.92

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Solution

The fourth proportional to 10,004.68, 15,007.02 and 3,430.92 is: 5,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.68 : 15,007.02 = 3,430.92 : x
  2. Step 2: Convert to fraction form
    10,004.68/15,007.02 = 3,430.92/x
  3. Step 3: Cross multiply
    10,004.68x = 15,007.02 × 3,430.92
  4. Step 4: Simplify right side
    10,004.68x = 51,487,885.06
  5. Step 5: Solve for x
    x = 51,487,885.06/10,004.68
  6. Step 6: Final answer
    x = 5,146.38

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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.