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Finding the Fourth Proportional to 10,585.89, 14,607.34 and 6,550.88

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Solution

The fourth proportional to 10,585.89, 14,607.34 and 6,550.88 is: 9,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.89 : 14,607.34 = 6,550.88 : x
  2. Step 2: Convert to fraction form
    10,585.89/14,607.34 = 6,550.88/x
  3. Step 3: Cross multiply
    10,585.89x = 14,607.34 × 6,550.88
  4. Step 4: Simplify right side
    10,585.89x = 95,690,842.05
  5. Step 5: Solve for x
    x = 95,690,842.05/10,585.89
  6. Step 6: Final answer
    x = 9,039.47

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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.