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Finding the Fourth Proportional to 8,150.76, 12,224.70 and 2,307.24

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Solution

The fourth proportional to 8,150.76, 12,224.70 and 2,307.24 is: 3,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.76 : 12,224.70 = 2,307.24 : x
  2. Step 2: Convert to fraction form
    8,150.76/12,224.70 = 2,307.24/x
  3. Step 3: Cross multiply
    8,150.76x = 12,224.70 × 2,307.24
  4. Step 4: Simplify right side
    8,150.76x = 28,205,316.83
  5. Step 5: Solve for x
    x = 28,205,316.83/8,150.76
  6. Step 6: Final answer
    x = 3,460.45

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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.