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Finding the Fourth Proportional to 7,678.85, 10,596.68 and 4,321.66

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Solution

The fourth proportional to 7,678.85, 10,596.68 and 4,321.66 is: 5,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.85 : 10,596.68 = 4,321.66 : x
  2. Step 2: Convert to fraction form
    7,678.85/10,596.68 = 4,321.66/x
  3. Step 3: Cross multiply
    7,678.85x = 10,596.68 × 4,321.66
  4. Step 4: Simplify right side
    7,678.85x = 45,795,248.09
  5. Step 5: Solve for x
    x = 45,795,248.09/7,678.85
  6. Step 6: Final answer
    x = 5,963.82

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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.