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Finding the Fourth Proportional to 8,140.63, 12,197.02 and 4,445.46

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Solution

The fourth proportional to 8,140.63, 12,197.02 and 4,445.46 is: 6,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.63 : 12,197.02 = 4,445.46 : x
  2. Step 2: Convert to fraction form
    8,140.63/12,197.02 = 4,445.46/x
  3. Step 3: Cross multiply
    8,140.63x = 12,197.02 × 4,445.46
  4. Step 4: Simplify right side
    8,140.63x = 54,221,364.53
  5. Step 5: Solve for x
    x = 54,221,364.53/8,140.63
  6. Step 6: Final answer
    x = 6,660.59

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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.