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Finding the Fourth Proportional to 7,658.19, 10,562.54 and 6,597.77

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Solution

The fourth proportional to 7,658.19, 10,562.54 and 6,597.77 is: 9,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.19 : 10,562.54 = 6,597.77 : x
  2. Step 2: Convert to fraction form
    7,658.19/10,562.54 = 6,597.77/x
  3. Step 3: Cross multiply
    7,658.19x = 10,562.54 × 6,597.77
  4. Step 4: Simplify right side
    7,658.19x = 69,689,123.73
  5. Step 5: Solve for x
    x = 69,689,123.73/7,658.19
  6. Step 6: Final answer
    x = 9,099.95

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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.