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Finding the Fourth Proportional to 10,916.87, 16,378.32 and 4,347.66

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Solution

The fourth proportional to 10,916.87, 16,378.32 and 4,347.66 is: 6,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.87 : 16,378.32 = 4,347.66 : x
  2. Step 2: Convert to fraction form
    10,916.87/16,378.32 = 4,347.66/x
  3. Step 3: Cross multiply
    10,916.87x = 16,378.32 × 4,347.66
  4. Step 4: Simplify right side
    10,916.87x = 71,207,366.73
  5. Step 5: Solve for x
    x = 71,207,366.73/10,916.87
  6. Step 6: Final answer
    x = 6,522.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.