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Finding the Fourth Proportional to 7,640.54, 11,459.58 and 4,677.96

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Solution

The fourth proportional to 7,640.54, 11,459.58 and 4,677.96 is: 7,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.54 : 11,459.58 = 4,677.96 : x
  2. Step 2: Convert to fraction form
    7,640.54/11,459.58 = 4,677.96/x
  3. Step 3: Cross multiply
    7,640.54x = 11,459.58 × 4,677.96
  4. Step 4: Simplify right side
    7,640.54x = 53,607,456.86
  5. Step 5: Solve for x
    x = 53,607,456.86/7,640.54
  6. Step 6: Final answer
    x = 7,016.19

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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.