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Finding the Fourth Proportional to 7,182.80, 10,773.76 and 3,437.24

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Solution

The fourth proportional to 7,182.80, 10,773.76 and 3,437.24 is: 5,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.80 : 10,773.76 = 3,437.24 : x
  2. Step 2: Convert to fraction form
    7,182.80/10,773.76 = 3,437.24/x
  3. Step 3: Cross multiply
    7,182.80x = 10,773.76 × 3,437.24
  4. Step 4: Simplify right side
    7,182.80x = 37,032,045.07
  5. Step 5: Solve for x
    x = 37,032,045.07/7,182.80
  6. Step 6: Final answer
    x = 5,155.65

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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.