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Finding the Fourth Proportional to 7,534.50, 11,306.61 and 2,917.50

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Solution

The fourth proportional to 7,534.50, 11,306.61 and 2,917.50 is: 4,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.50 : 11,306.61 = 2,917.50 : x
  2. Step 2: Convert to fraction form
    7,534.50/11,306.61 = 2,917.50/x
  3. Step 3: Cross multiply
    7,534.50x = 11,306.61 × 2,917.50
  4. Step 4: Simplify right side
    7,534.50x = 32,987,034.68
  5. Step 5: Solve for x
    x = 32,987,034.68/7,534.50
  6. Step 6: Final answer
    x = 4,378.13

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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.