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Finding the Fourth Proportional to 10,696.38, 14,761 and 5,981.10

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Solution

The fourth proportional to 10,696.38, 14,761 and 5,981.10 is: 8,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.38 : 14,761 = 5,981.10 : x
  2. Step 2: Convert to fraction form
    10,696.38/14,761 = 5,981.10/x
  3. Step 3: Cross multiply
    10,696.38x = 14,761 × 5,981.10
  4. Step 4: Simplify right side
    10,696.38x = 88,287,017.10
  5. Step 5: Solve for x
    x = 88,287,017.10/10,696.38
  6. Step 6: Final answer
    x = 8,253.92

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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.