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Finding the Fourth Proportional to 8,077.40, 12,117.90 and 3,146.60

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Solution

The fourth proportional to 8,077.40, 12,117.90 and 3,146.60 is: 4,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.40 : 12,117.90 = 3,146.60 : x
  2. Step 2: Convert to fraction form
    8,077.40/12,117.90 = 3,146.60/x
  3. Step 3: Cross multiply
    8,077.40x = 12,117.90 × 3,146.60
  4. Step 4: Simplify right side
    8,077.40x = 38,130,184.14
  5. Step 5: Solve for x
    x = 38,130,184.14/8,077.40
  6. Step 6: Final answer
    x = 4,720.60

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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.