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Finding the Fourth Proportional to 10,642.32, 15,952.39 and 5,955.46

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Solution

The fourth proportional to 10,642.32, 15,952.39 and 5,955.46 is: 8,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.32 : 15,952.39 = 5,955.46 : x
  2. Step 2: Convert to fraction form
    10,642.32/15,952.39 = 5,955.46/x
  3. Step 3: Cross multiply
    10,642.32x = 15,952.39 × 5,955.46
  4. Step 4: Simplify right side
    10,642.32x = 95,003,765.78
  5. Step 5: Solve for x
    x = 95,003,765.78/10,642.32
  6. Step 6: Final answer
    x = 8,926.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.