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Finding the Fourth Proportional to 10,712.40, 14,782.56 and 5,932.08

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Solution

The fourth proportional to 10,712.40, 14,782.56 and 5,932.08 is: 8,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.40 : 14,782.56 = 5,932.08 : x
  2. Step 2: Convert to fraction form
    10,712.40/14,782.56 = 5,932.08/x
  3. Step 3: Cross multiply
    10,712.40x = 14,782.56 × 5,932.08
  4. Step 4: Simplify right side
    10,712.40x = 87,691,328.52
  5. Step 5: Solve for x
    x = 87,691,328.52/10,712.40
  6. Step 6: Final answer
    x = 8,185.96

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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.