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Finding the Fourth Proportional to 10,914.85, 15,062.43 and 6,134.92

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Solution

The fourth proportional to 10,914.85, 15,062.43 and 6,134.92 is: 8,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.85 : 15,062.43 = 6,134.92 : x
  2. Step 2: Convert to fraction form
    10,914.85/15,062.43 = 6,134.92/x
  3. Step 3: Cross multiply
    10,914.85x = 15,062.43 × 6,134.92
  4. Step 4: Simplify right side
    10,914.85x = 92,406,788.41
  5. Step 5: Solve for x
    x = 92,406,788.41/10,914.85
  6. Step 6: Final answer
    x = 8,466.15

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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.