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Finding the Fourth Proportional to 6,538.80, 9,026.10 and 4,182.24

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Solution

The fourth proportional to 6,538.80, 9,026.10 and 4,182.24 is: 5,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.80 : 9,026.10 = 4,182.24 : x
  2. Step 2: Convert to fraction form
    6,538.80/9,026.10 = 4,182.24/x
  3. Step 3: Cross multiply
    6,538.80x = 9,026.10 × 4,182.24
  4. Step 4: Simplify right side
    6,538.80x = 37,749,316.46
  5. Step 5: Solve for x
    x = 37,749,316.46/6,538.80
  6. Step 6: Final answer
    x = 5,773.13

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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.