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Finding the Fourth Proportional to 7,658.31, 11,476.50 and 4,364.60

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Solution

The fourth proportional to 7,658.31, 11,476.50 and 4,364.60 is: 6,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.31 : 11,476.50 = 4,364.60 : x
  2. Step 2: Convert to fraction form
    7,658.31/11,476.50 = 4,364.60/x
  3. Step 3: Cross multiply
    7,658.31x = 11,476.50 × 4,364.60
  4. Step 4: Simplify right side
    7,658.31x = 50,090,331.90
  5. Step 5: Solve for x
    x = 50,090,331.90/7,658.31
  6. Step 6: Final answer
    x = 6,540.65

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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.