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Finding the Fourth Proportional to 7,699.59, 11,557.17 and 5,200.52

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Solution

The fourth proportional to 7,699.59, 11,557.17 and 5,200.52 is: 7,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.59 : 11,557.17 = 5,200.52 : x
  2. Step 2: Convert to fraction form
    7,699.59/11,557.17 = 5,200.52/x
  3. Step 3: Cross multiply
    7,699.59x = 11,557.17 × 5,200.52
  4. Step 4: Simplify right side
    7,699.59x = 60,103,235.94
  5. Step 5: Solve for x
    x = 60,103,235.94/7,699.59
  6. Step 6: Final answer
    x = 7,806.03

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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.