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Finding the Fourth Proportional to 10,920.38, 15,070.74 and 6,205.64

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Solution

The fourth proportional to 10,920.38, 15,070.74 and 6,205.64 is: 8,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.38 : 15,070.74 = 6,205.64 : x
  2. Step 2: Convert to fraction form
    10,920.38/15,070.74 = 6,205.64/x
  3. Step 3: Cross multiply
    10,920.38x = 15,070.74 × 6,205.64
  4. Step 4: Simplify right side
    10,920.38x = 93,523,586.97
  5. Step 5: Solve for x
    x = 93,523,586.97/10,920.38
  6. Step 6: Final answer
    x = 8,564.13

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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.