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Finding the Fourth Proportional to 10,521.44, 15,773.84 and 5,253.74

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Solution

The fourth proportional to 10,521.44, 15,773.84 and 5,253.74 is: 7,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.44 : 15,773.84 = 5,253.74 : x
  2. Step 2: Convert to fraction form
    10,521.44/15,773.84 = 5,253.74/x
  3. Step 3: Cross multiply
    10,521.44x = 15,773.84 × 5,253.74
  4. Step 4: Simplify right side
    10,521.44x = 82,871,654.16
  5. Step 5: Solve for x
    x = 82,871,654.16/10,521.44
  6. Step 6: Final answer
    x = 7,876.46

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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.