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Finding the Fourth Proportional to 10,648.42, 14,695 and 5,932.70

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Solution

The fourth proportional to 10,648.42, 14,695 and 5,932.70 is: 8,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.42 : 14,695 = 5,932.70 : x
  2. Step 2: Convert to fraction form
    10,648.42/14,695 = 5,932.70/x
  3. Step 3: Cross multiply
    10,648.42x = 14,695 × 5,932.70
  4. Step 4: Simplify right side
    10,648.42x = 87,181,026.50
  5. Step 5: Solve for x
    x = 87,181,026.50/10,648.42
  6. Step 6: Final answer
    x = 8,187.23

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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.