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Finding the Fourth Proportional to 10,586.68, 14,612.50 and 6,605.42

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Solution

The fourth proportional to 10,586.68, 14,612.50 and 6,605.42 is: 9,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.68 : 14,612.50 = 6,605.42 : x
  2. Step 2: Convert to fraction form
    10,586.68/14,612.50 = 6,605.42/x
  3. Step 3: Cross multiply
    10,586.68x = 14,612.50 × 6,605.42
  4. Step 4: Simplify right side
    10,586.68x = 96,521,699.75
  5. Step 5: Solve for x
    x = 96,521,699.75/10,586.68
  6. Step 6: Final answer
    x = 9,117.28

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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.