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Finding the Fourth Proportional to 10,781.42, 14,878.19 and 6,065.71

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Solution

The fourth proportional to 10,781.42, 14,878.19 and 6,065.71 is: 8,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.42 : 14,878.19 = 6,065.71 : x
  2. Step 2: Convert to fraction form
    10,781.42/14,878.19 = 6,065.71/x
  3. Step 3: Cross multiply
    10,781.42x = 14,878.19 × 6,065.71
  4. Step 4: Simplify right side
    10,781.42x = 90,246,770.70
  5. Step 5: Solve for x
    x = 90,246,770.70/10,781.42
  6. Step 6: Final answer
    x = 8,370.58

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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.