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Finding the Fourth Proportional to 7,657.52, 10,559.59 and 7,211.05

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Solution

The fourth proportional to 7,657.52, 10,559.59 and 7,211.05 is: 9,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.52 : 10,559.59 = 7,211.05 : x
  2. Step 2: Convert to fraction form
    7,657.52/10,559.59 = 7,211.05/x
  3. Step 3: Cross multiply
    7,657.52x = 10,559.59 × 7,211.05
  4. Step 4: Simplify right side
    7,657.52x = 76,145,687.04
  5. Step 5: Solve for x
    x = 76,145,687.04/7,657.52
  6. Step 6: Final answer
    x = 9,943.92

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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.