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Finding the Fourth Proportional to 10,291.20, 14,201.76 and 6,041.52

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Solution

The fourth proportional to 10,291.20, 14,201.76 and 6,041.52 is: 8,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.20 : 14,201.76 = 6,041.52 : x
  2. Step 2: Convert to fraction form
    10,291.20/14,201.76 = 6,041.52/x
  3. Step 3: Cross multiply
    10,291.20x = 14,201.76 × 6,041.52
  4. Step 4: Simplify right side
    10,291.20x = 85,800,217.08
  5. Step 5: Solve for x
    x = 85,800,217.08/10,291.20
  6. Step 6: Final answer
    x = 8,337.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.