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Finding the Fourth Proportional to 10,648.68, 14,693.10 and 5,932.08

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Solution

The fourth proportional to 10,648.68, 14,693.10 and 5,932.08 is: 8,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.68 : 14,693.10 = 5,932.08 : x
  2. Step 2: Convert to fraction form
    10,648.68/14,693.10 = 5,932.08/x
  3. Step 3: Cross multiply
    10,648.68x = 14,693.10 × 5,932.08
  4. Step 4: Simplify right side
    10,648.68x = 87,160,644.65
  5. Step 5: Solve for x
    x = 87,160,644.65/10,648.68
  6. Step 6: Final answer
    x = 8,185.11

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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.