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Finding the Fourth Proportional to 10,222.57, 15,322.92 and 5,287.24

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Solution

The fourth proportional to 10,222.57, 15,322.92 and 5,287.24 is: 7,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.57 : 15,322.92 = 5,287.24 : x
  2. Step 2: Convert to fraction form
    10,222.57/15,322.92 = 5,287.24/x
  3. Step 3: Cross multiply
    10,222.57x = 15,322.92 × 5,287.24
  4. Step 4: Simplify right side
    10,222.57x = 81,015,984.61
  5. Step 5: Solve for x
    x = 81,015,984.61/10,222.57
  6. Step 6: Final answer
    x = 7,925.21

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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.