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Finding the Fourth Proportional to 8,139.84, 12,209.70 and 2,296.41

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Solution

The fourth proportional to 8,139.84, 12,209.70 and 2,296.41 is: 3,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.84 : 12,209.70 = 2,296.41 : x
  2. Step 2: Convert to fraction form
    8,139.84/12,209.70 = 2,296.41/x
  3. Step 3: Cross multiply
    8,139.84x = 12,209.70 × 2,296.41
  4. Step 4: Simplify right side
    8,139.84x = 28,038,477.18
  5. Step 5: Solve for x
    x = 28,038,477.18/8,139.84
  6. Step 6: Final answer
    x = 3,444.60

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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.