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Finding the Fourth Proportional to 10,781.94, 14,878.28 and 6,065.31

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Solution

The fourth proportional to 10,781.94, 14,878.28 and 6,065.31 is: 8,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.94 : 14,878.28 = 6,065.31 : x
  2. Step 2: Convert to fraction form
    10,781.94/14,878.28 = 6,065.31/x
  3. Step 3: Cross multiply
    10,781.94x = 14,878.28 × 6,065.31
  4. Step 4: Simplify right side
    10,781.94x = 90,241,380.47
  5. Step 5: Solve for x
    x = 90,241,380.47/10,781.94
  6. Step 6: Final answer
    x = 8,369.68

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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.