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Finding the Fourth Proportional to 8,833.60, 12,184.02 and 5,686.78

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Solution

The fourth proportional to 8,833.60, 12,184.02 and 5,686.78 is: 7,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.60 : 12,184.02 = 5,686.78 : x
  2. Step 2: Convert to fraction form
    8,833.60/12,184.02 = 5,686.78/x
  3. Step 3: Cross multiply
    8,833.60x = 12,184.02 × 5,686.78
  4. Step 4: Simplify right side
    8,833.60x = 69,287,841.26
  5. Step 5: Solve for x
    x = 69,287,841.26/8,833.60
  6. Step 6: Final answer
    x = 7,843.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.