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Finding the Fourth Proportional to 7,650.16, 10,558.71 and 4,463.83

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Solution

The fourth proportional to 7,650.16, 10,558.71 and 4,463.83 is: 6,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.16 : 10,558.71 = 4,463.83 : x
  2. Step 2: Convert to fraction form
    7,650.16/10,558.71 = 4,463.83/x
  3. Step 3: Cross multiply
    7,650.16x = 10,558.71 × 4,463.83
  4. Step 4: Simplify right side
    7,650.16x = 47,132,286.46
  5. Step 5: Solve for x
    x = 47,132,286.46/7,650.16
  6. Step 6: Final answer
    x = 6,160.95

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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.