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Finding the Fourth Proportional to 8,152.46, 12,227.24 and 2,307.70

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Solution

The fourth proportional to 8,152.46, 12,227.24 and 2,307.70 is: 3,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.46 : 12,227.24 = 2,307.70 : x
  2. Step 2: Convert to fraction form
    8,152.46/12,227.24 = 2,307.70/x
  3. Step 3: Cross multiply
    8,152.46x = 12,227.24 × 2,307.70
  4. Step 4: Simplify right side
    8,152.46x = 28,216,801.75
  5. Step 5: Solve for x
    x = 28,216,801.75/8,152.46
  6. Step 6: Final answer
    x = 3,461.14

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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.