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Finding the Fourth Proportional to 10,957.92, 15,117.68 and 6,978.32

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Solution

The fourth proportional to 10,957.92, 15,117.68 and 6,978.32 is: 9,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.92 : 15,117.68 = 6,978.32 : x
  2. Step 2: Convert to fraction form
    10,957.92/15,117.68 = 6,978.32/x
  3. Step 3: Cross multiply
    10,957.92x = 15,117.68 × 6,978.32
  4. Step 4: Simplify right side
    10,957.92x = 105,496,008.70
  5. Step 5: Solve for x
    x = 105,496,008.70/10,957.92
  6. Step 6: Final answer
    x = 9,627.38

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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.