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Finding the Fourth Proportional to 7,677.76, 11,516.16 and 2,412.40

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Solution

The fourth proportional to 7,677.76, 11,516.16 and 2,412.40 is: 3,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.76 : 11,516.16 = 2,412.40 : x
  2. Step 2: Convert to fraction form
    7,677.76/11,516.16 = 2,412.40/x
  3. Step 3: Cross multiply
    7,677.76x = 11,516.16 × 2,412.40
  4. Step 4: Simplify right side
    7,677.76x = 27,781,584.38
  5. Step 5: Solve for x
    x = 27,781,584.38/7,677.76
  6. Step 6: Final answer
    x = 3,618.45

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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.