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Finding the Fourth Proportional to 8,384.10, 11,568.33 and 5,026.02

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Solution

The fourth proportional to 8,384.10, 11,568.33 and 5,026.02 is: 6,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.10 : 11,568.33 = 5,026.02 : x
  2. Step 2: Convert to fraction form
    8,384.10/11,568.33 = 5,026.02/x
  3. Step 3: Cross multiply
    8,384.10x = 11,568.33 × 5,026.02
  4. Step 4: Simplify right side
    8,384.10x = 58,142,657.95
  5. Step 5: Solve for x
    x = 58,142,657.95/8,384.10
  6. Step 6: Final answer
    x = 6,934.87

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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.