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Finding the Fourth Proportional to 8,140.35, 12,210.49 and 2,296.95

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Solution

The fourth proportional to 8,140.35, 12,210.49 and 2,296.95 is: 3,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.35 : 12,210.49 = 2,296.95 : x
  2. Step 2: Convert to fraction form
    8,140.35/12,210.49 = 2,296.95/x
  3. Step 3: Cross multiply
    8,140.35x = 12,210.49 × 2,296.95
  4. Step 4: Simplify right side
    8,140.35x = 28,046,885.01
  5. Step 5: Solve for x
    x = 28,046,885.01/8,140.35
  6. Step 6: Final answer
    x = 3,445.42

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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.