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Finding the Fourth Proportional to 8,338.15, 12,510.16 and 5,214.61

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Solution

The fourth proportional to 8,338.15, 12,510.16 and 5,214.61 is: 7,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.15 : 12,510.16 = 5,214.61 : x
  2. Step 2: Convert to fraction form
    8,338.15/12,510.16 = 5,214.61/x
  3. Step 3: Cross multiply
    8,338.15x = 12,510.16 × 5,214.61
  4. Step 4: Simplify right side
    8,338.15x = 65,235,579.36
  5. Step 5: Solve for x
    x = 65,235,579.36/8,338.15
  6. Step 6: Final answer
    x = 7,823.75

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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.