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Finding the Fourth Proportional to 8,139.90, 12,173.40 and 6,827.70

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Solution

The fourth proportional to 8,139.90, 12,173.40 and 6,827.70 is: 10,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.90 : 12,173.40 = 6,827.70 : x
  2. Step 2: Convert to fraction form
    8,139.90/12,173.40 = 6,827.70/x
  3. Step 3: Cross multiply
    8,139.90x = 12,173.40 × 6,827.70
  4. Step 4: Simplify right side
    8,139.90x = 83,116,323.18
  5. Step 5: Solve for x
    x = 83,116,323.18/8,139.90
  6. Step 6: Final answer
    x = 10,210.98

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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.