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Finding the Fourth Proportional to 10,655.91, 14,705.19 and 6,182.31

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Solution

The fourth proportional to 10,655.91, 14,705.19 and 6,182.31 is: 8,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.91 : 14,705.19 = 6,182.31 : x
  2. Step 2: Convert to fraction form
    10,655.91/14,705.19 = 6,182.31/x
  3. Step 3: Cross multiply
    10,655.91x = 14,705.19 × 6,182.31
  4. Step 4: Simplify right side
    10,655.91x = 90,912,043.19
  5. Step 5: Solve for x
    x = 90,912,043.19/10,655.91
  6. Step 6: Final answer
    x = 8,531.61

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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.