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Finding the Fourth Proportional to 8,750.68, 13,122.84 and 3,202.40

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Solution

The fourth proportional to 8,750.68, 13,122.84 and 3,202.40 is: 4,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750.68 : 13,122.84 = 3,202.40 : x
  2. Step 2: Convert to fraction form
    8,750.68/13,122.84 = 3,202.40/x
  3. Step 3: Cross multiply
    8,750.68x = 13,122.84 × 3,202.40
  4. Step 4: Simplify right side
    8,750.68x = 42,024,582.82
  5. Step 5: Solve for x
    x = 42,024,582.82/8,750.68
  6. Step 6: Final answer
    x = 4,802.44

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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.