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Finding the Fourth Proportional to 7,658.82, 10,561.40 and 7,212.36

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Solution

The fourth proportional to 7,658.82, 10,561.40 and 7,212.36 is: 9,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.82 : 10,561.40 = 7,212.36 : x
  2. Step 2: Convert to fraction form
    7,658.82/10,561.40 = 7,212.36/x
  3. Step 3: Cross multiply
    7,658.82x = 10,561.40 × 7,212.36
  4. Step 4: Simplify right side
    7,658.82x = 76,172,618.90
  5. Step 5: Solve for x
    x = 76,172,618.90/7,658.82
  6. Step 6: Final answer
    x = 9,945.74

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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.