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Finding the Fourth Proportional to 8,206.79, 12,290.46 and 4,686.13

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Solution

The fourth proportional to 8,206.79, 12,290.46 and 4,686.13 is: 7,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.79 : 12,290.46 = 4,686.13 : x
  2. Step 2: Convert to fraction form
    8,206.79/12,290.46 = 4,686.13/x
  3. Step 3: Cross multiply
    8,206.79x = 12,290.46 × 4,686.13
  4. Step 4: Simplify right side
    8,206.79x = 57,594,693.78
  5. Step 5: Solve for x
    x = 57,594,693.78/8,206.79
  6. Step 6: Final answer
    x = 7,017.93

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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.