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Finding the Fourth Proportional to 10,306.56, 14,230.08 and 6,585.60

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Solution

The fourth proportional to 10,306.56, 14,230.08 and 6,585.60 is: 9,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.56 : 14,230.08 = 6,585.60 : x
  2. Step 2: Convert to fraction form
    10,306.56/14,230.08 = 6,585.60/x
  3. Step 3: Cross multiply
    10,306.56x = 14,230.08 × 6,585.60
  4. Step 4: Simplify right side
    10,306.56x = 93,713,614.85
  5. Step 5: Solve for x
    x = 93,713,614.85/10,306.56
  6. Step 6: Final answer
    x = 9,092.62

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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.