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Finding the Fourth Proportional to 10,347.83, 15,520.17 and 3,774.02

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Solution

The fourth proportional to 10,347.83, 15,520.17 and 3,774.02 is: 5,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.83 : 15,520.17 = 3,774.02 : x
  2. Step 2: Convert to fraction form
    10,347.83/15,520.17 = 3,774.02/x
  3. Step 3: Cross multiply
    10,347.83x = 15,520.17 × 3,774.02
  4. Step 4: Simplify right side
    10,347.83x = 58,573,431.98
  5. Step 5: Solve for x
    x = 58,573,431.98/10,347.83
  6. Step 6: Final answer
    x = 5,660.46

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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.