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Finding the Fourth Proportional to 8,222.64, 11,341.80 and 7,937.52

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Solution

The fourth proportional to 8,222.64, 11,341.80 and 7,937.52 is: 10,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.64 : 11,341.80 = 7,937.52 : x
  2. Step 2: Convert to fraction form
    8,222.64/11,341.80 = 7,937.52/x
  3. Step 3: Cross multiply
    8,222.64x = 11,341.80 × 7,937.52
  4. Step 4: Simplify right side
    8,222.64x = 90,025,764.34
  5. Step 5: Solve for x
    x = 90,025,764.34/8,222.64
  6. Step 6: Final answer
    x = 10,948.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.