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Finding the Fourth Proportional to 10,569.87, 14,589.05 and 6,595.61

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Solution

The fourth proportional to 10,569.87, 14,589.05 and 6,595.61 is: 9,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.87 : 14,589.05 = 6,595.61 : x
  2. Step 2: Convert to fraction form
    10,569.87/14,589.05 = 6,595.61/x
  3. Step 3: Cross multiply
    10,569.87x = 14,589.05 × 6,595.61
  4. Step 4: Simplify right side
    10,569.87x = 96,223,578.15
  5. Step 5: Solve for x
    x = 96,223,578.15/10,569.87
  6. Step 6: Final answer
    x = 9,103.57

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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.