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Finding the Fourth Proportional to 7,656.86, 11,438.76 and 4,861.14

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Solution

The fourth proportional to 7,656.86, 11,438.76 and 4,861.14 is: 7,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.86 : 11,438.76 = 4,861.14 : x
  2. Step 2: Convert to fraction form
    7,656.86/11,438.76 = 4,861.14/x
  3. Step 3: Cross multiply
    7,656.86x = 11,438.76 × 4,861.14
  4. Step 4: Simplify right side
    7,656.86x = 55,605,413.79
  5. Step 5: Solve for x
    x = 55,605,413.79/7,656.86
  6. Step 6: Final answer
    x = 7,262.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.