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Finding the Fourth Proportional to 7,291.80, 10,935 and 5,734.83

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Solution

The fourth proportional to 7,291.80, 10,935 and 5,734.83 is: 8,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.80 : 10,935 = 5,734.83 : x
  2. Step 2: Convert to fraction form
    7,291.80/10,935 = 5,734.83/x
  3. Step 3: Cross multiply
    7,291.80x = 10,935 × 5,734.83
  4. Step 4: Simplify right side
    7,291.80x = 62,710,366.05
  5. Step 5: Solve for x
    x = 62,710,366.05/7,291.80
  6. Step 6: Final answer
    x = 8,600.12

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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.