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Finding the Fourth Proportional to 10,572.75, 14,590.26 and 6,593.58

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Solution

The fourth proportional to 10,572.75, 14,590.26 and 6,593.58 is: 9,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.75 : 14,590.26 = 6,593.58 : x
  2. Step 2: Convert to fraction form
    10,572.75/14,590.26 = 6,593.58/x
  3. Step 3: Cross multiply
    10,572.75x = 14,590.26 × 6,593.58
  4. Step 4: Simplify right side
    10,572.75x = 96,202,046.53
  5. Step 5: Solve for x
    x = 96,202,046.53/10,572.75
  6. Step 6: Final answer
    x = 9,099.06

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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.