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Finding the Fourth Proportional to 7,863.66, 11,780.04 and 4,569.84

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Solution

The fourth proportional to 7,863.66, 11,780.04 and 4,569.84 is: 6,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.66 : 11,780.04 = 4,569.84 : x
  2. Step 2: Convert to fraction form
    7,863.66/11,780.04 = 4,569.84/x
  3. Step 3: Cross multiply
    7,863.66x = 11,780.04 × 4,569.84
  4. Step 4: Simplify right side
    7,863.66x = 53,832,897.99
  5. Step 5: Solve for x
    x = 53,832,897.99/7,863.66
  6. Step 6: Final answer
    x = 6,845.78

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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.