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Finding the Fourth Proportional to 10,952.30, 15,114.18 and 5,916.52

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Solution

The fourth proportional to 10,952.30, 15,114.18 and 5,916.52 is: 8,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.30 : 15,114.18 = 5,916.52 : x
  2. Step 2: Convert to fraction form
    10,952.30/15,114.18 = 5,916.52/x
  3. Step 3: Cross multiply
    10,952.30x = 15,114.18 × 5,916.52
  4. Step 4: Simplify right side
    10,952.30x = 89,423,348.25
  5. Step 5: Solve for x
    x = 89,423,348.25/10,952.30
  6. Step 6: Final answer
    x = 8,164.80

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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.