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Finding the Fourth Proportional to 11,543.92, 15,929.66 and 6,509.38

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Solution

The fourth proportional to 11,543.92, 15,929.66 and 6,509.38 is: 8,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.92 : 15,929.66 = 6,509.38 : x
  2. Step 2: Convert to fraction form
    11,543.92/15,929.66 = 6,509.38/x
  3. Step 3: Cross multiply
    11,543.92x = 15,929.66 × 6,509.38
  4. Step 4: Simplify right side
    11,543.92x = 103,692,210.21
  5. Step 5: Solve for x
    x = 103,692,210.21/11,543.92
  6. Step 6: Final answer
    x = 8,982.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.