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Finding the Fourth Proportional to 8,205.98, 12,314.40 and 4,510.79

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Solution

The fourth proportional to 8,205.98, 12,314.40 and 4,510.79 is: 6,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.98 : 12,314.40 = 4,510.79 : x
  2. Step 2: Convert to fraction form
    8,205.98/12,314.40 = 4,510.79/x
  3. Step 3: Cross multiply
    8,205.98x = 12,314.40 × 4,510.79
  4. Step 4: Simplify right side
    8,205.98x = 55,547,610.80
  5. Step 5: Solve for x
    x = 55,547,610.80/8,205.98
  6. Step 6: Final answer
    x = 6,769.17

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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.