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Finding the Fourth Proportional to 10,915.10, 16,348.28 and 9,491.28

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Solution

The fourth proportional to 10,915.10, 16,348.28 and 9,491.28 is: 14,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.10 : 16,348.28 = 9,491.28 : x
  2. Step 2: Convert to fraction form
    10,915.10/16,348.28 = 9,491.28/x
  3. Step 3: Cross multiply
    10,915.10x = 16,348.28 × 9,491.28
  4. Step 4: Simplify right side
    10,915.10x = 155,166,047.62
  5. Step 5: Solve for x
    x = 155,166,047.62/10,915.10
  6. Step 6: Final answer
    x = 14,215.72

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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.