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Finding the Fourth Proportional to 10,584.80, 15,871.53 and 3,562.49

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Solution

The fourth proportional to 10,584.80, 15,871.53 and 3,562.49 is: 5,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.80 : 15,871.53 = 3,562.49 : x
  2. Step 2: Convert to fraction form
    10,584.80/15,871.53 = 3,562.49/x
  3. Step 3: Cross multiply
    10,584.80x = 15,871.53 × 3,562.49
  4. Step 4: Simplify right side
    10,584.80x = 56,542,069.74
  5. Step 5: Solve for x
    x = 56,542,069.74/10,584.80
  6. Step 6: Final answer
    x = 5,341.82

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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.