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Finding the Fourth Proportional to 10,920.12, 15,069.78 and 6,205.92

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Solution

The fourth proportional to 10,920.12, 15,069.78 and 6,205.92 is: 8,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.12 : 15,069.78 = 6,205.92 : x
  2. Step 2: Convert to fraction form
    10,920.12/15,069.78 = 6,205.92/x
  3. Step 3: Cross multiply
    10,920.12x = 15,069.78 × 6,205.92
  4. Step 4: Simplify right side
    10,920.12x = 93,521,849.10
  5. Step 5: Solve for x
    x = 93,521,849.10/10,920.12
  6. Step 6: Final answer
    x = 8,564.18

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