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Finding the Fourth Proportional to 10,221.48, 15,337.08 and 5,840.19

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Solution

The fourth proportional to 10,221.48, 15,337.08 and 5,840.19 is: 8,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.48 : 15,337.08 = 5,840.19 : x
  2. Step 2: Convert to fraction form
    10,221.48/15,337.08 = 5,840.19/x
  3. Step 3: Cross multiply
    10,221.48x = 15,337.08 × 5,840.19
  4. Step 4: Simplify right side
    10,221.48x = 89,571,461.25
  5. Step 5: Solve for x
    x = 89,571,461.25/10,221.48
  6. Step 6: Final answer
    x = 8,763.06

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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.