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Finding the Fourth Proportional to 8,098.38, 12,154.86 and 4,205.52

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Solution

The fourth proportional to 8,098.38, 12,154.86 and 4,205.52 is: 6,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.38 : 12,154.86 = 4,205.52 : x
  2. Step 2: Convert to fraction form
    8,098.38/12,154.86 = 4,205.52/x
  3. Step 3: Cross multiply
    8,098.38x = 12,154.86 × 4,205.52
  4. Step 4: Simplify right side
    8,098.38x = 51,117,506.83
  5. Step 5: Solve for x
    x = 51,117,506.83/8,098.38
  6. Step 6: Final answer
    x = 6,312.07

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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.