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Finding the Fourth Proportional to 7,886.33, 11,815.14 and 4,589.42

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Solution

The fourth proportional to 7,886.33, 11,815.14 and 4,589.42 is: 6,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.33 : 11,815.14 = 4,589.42 : x
  2. Step 2: Convert to fraction form
    7,886.33/11,815.14 = 4,589.42/x
  3. Step 3: Cross multiply
    7,886.33x = 11,815.14 × 4,589.42
  4. Step 4: Simplify right side
    7,886.33x = 54,224,616.87
  5. Step 5: Solve for x
    x = 54,224,616.87/7,886.33
  6. Step 6: Final answer
    x = 6,875.78

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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.