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Finding the Fourth Proportional to 10,897.92, 16,340.04 and 5,047.02

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Solution

The fourth proportional to 10,897.92, 16,340.04 and 5,047.02 is: 7,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.92 : 16,340.04 = 5,047.02 : x
  2. Step 2: Convert to fraction form
    10,897.92/16,340.04 = 5,047.02/x
  3. Step 3: Cross multiply
    10,897.92x = 16,340.04 × 5,047.02
  4. Step 4: Simplify right side
    10,897.92x = 82,468,508.68
  5. Step 5: Solve for x
    x = 82,468,508.68/10,897.92
  6. Step 6: Final answer
    x = 7,567.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.