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Finding the Fourth Proportional to 10,005.52, 15,004.68 and 3,429.94

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Solution

The fourth proportional to 10,005.52, 15,004.68 and 3,429.94 is: 5,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.52 : 15,004.68 = 3,429.94 : x
  2. Step 2: Convert to fraction form
    10,005.52/15,004.68 = 3,429.94/x
  3. Step 3: Cross multiply
    10,005.52x = 15,004.68 × 3,429.94
  4. Step 4: Simplify right side
    10,005.52x = 51,465,152.12
  5. Step 5: Solve for x
    x = 51,465,152.12/10,005.52
  6. Step 6: Final answer
    x = 5,143.68

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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.