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Finding the Fourth Proportional to 10,951.80, 15,113.49 and 5,916.02

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Solution

The fourth proportional to 10,951.80, 15,113.49 and 5,916.02 is: 8,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.80 : 15,113.49 = 5,916.02 : x
  2. Step 2: Convert to fraction form
    10,951.80/15,113.49 = 5,916.02/x
  3. Step 3: Cross multiply
    10,951.80x = 15,113.49 × 5,916.02
  4. Step 4: Simplify right side
    10,951.80x = 89,411,709.11
  5. Step 5: Solve for x
    x = 89,411,709.11/10,951.80
  6. Step 6: Final answer
    x = 8,164.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.