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Finding the Fourth Proportional to 8,206.90, 12,314.70 and 4,746.58

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Solution

The fourth proportional to 8,206.90, 12,314.70 and 4,746.58 is: 7,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.90 : 12,314.70 = 4,746.58 : x
  2. Step 2: Convert to fraction form
    8,206.90/12,314.70 = 4,746.58/x
  3. Step 3: Cross multiply
    8,206.90x = 12,314.70 × 4,746.58
  4. Step 4: Simplify right side
    8,206.90x = 58,452,708.73
  5. Step 5: Solve for x
    x = 58,452,708.73/8,206.90
  6. Step 6: Final answer
    x = 7,122.39

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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.