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Finding the Fourth Proportional to 10,687.38, 14,748.54 and 5,907.66

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Solution

The fourth proportional to 10,687.38, 14,748.54 and 5,907.66 is: 8,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.38 : 14,748.54 = 5,907.66 : x
  2. Step 2: Convert to fraction form
    10,687.38/14,748.54 = 5,907.66/x
  3. Step 3: Cross multiply
    10,687.38x = 14,748.54 × 5,907.66
  4. Step 4: Simplify right side
    10,687.38x = 87,129,359.82
  5. Step 5: Solve for x
    x = 87,129,359.82/10,687.38
  6. Step 6: Final answer
    x = 8,152.55

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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.