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Finding the Fourth Proportional to 8,862.30, 13,206.60 and 8,084.70

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Solution

The fourth proportional to 8,862.30, 13,206.60 and 8,084.70 is: 12,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.30 : 13,206.60 = 8,084.70 : x
  2. Step 2: Convert to fraction form
    8,862.30/13,206.60 = 8,084.70/x
  3. Step 3: Cross multiply
    8,862.30x = 13,206.60 × 8,084.70
  4. Step 4: Simplify right side
    8,862.30x = 106,771,399.02
  5. Step 5: Solve for x
    x = 106,771,399.02/8,862.30
  6. Step 6: Final answer
    x = 12,047.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.