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Finding the Fourth Proportional to 8,114.37, 12,172.80 and 3,434.40

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Solution

The fourth proportional to 8,114.37, 12,172.80 and 3,434.40 is: 5,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.37 : 12,172.80 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    8,114.37/12,172.80 = 3,434.40/x
  3. Step 3: Cross multiply
    8,114.37x = 12,172.80 × 3,434.40
  4. Step 4: Simplify right side
    8,114.37x = 41,806,264.32
  5. Step 5: Solve for x
    x = 41,806,264.32/8,114.37
  6. Step 6: Final answer
    x = 5,152.13

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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.