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Finding the Fourth Proportional to 10,454.94, 15,685.16 and 6,068.20

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Solution

The fourth proportional to 10,454.94, 15,685.16 and 6,068.20 is: 9,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.94 : 15,685.16 = 6,068.20 : x
  2. Step 2: Convert to fraction form
    10,454.94/15,685.16 = 6,068.20/x
  3. Step 3: Cross multiply
    10,454.94x = 15,685.16 × 6,068.20
  4. Step 4: Simplify right side
    10,454.94x = 95,180,687.91
  5. Step 5: Solve for x
    x = 95,180,687.91/10,454.94
  6. Step 6: Final answer
    x = 9,103.90

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