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Finding the Fourth Proportional to 10,915.89, 16,358.19 and 6,226.19

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Solution

The fourth proportional to 10,915.89, 16,358.19 and 6,226.19 is: 9,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.89 : 16,358.19 = 6,226.19 : x
  2. Step 2: Convert to fraction form
    10,915.89/16,358.19 = 6,226.19/x
  3. Step 3: Cross multiply
    10,915.89x = 16,358.19 × 6,226.19
  4. Step 4: Simplify right side
    10,915.89x = 101,849,167.87
  5. Step 5: Solve for x
    x = 101,849,167.87/10,915.89
  6. Step 6: Final answer
    x = 9,330.36

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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.