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Finding the Fourth Proportional to 7,922.51, 10,934.80 and 5,234.17

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Solution

The fourth proportional to 7,922.51, 10,934.80 and 5,234.17 is: 7,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.51 : 10,934.80 = 5,234.17 : x
  2. Step 2: Convert to fraction form
    7,922.51/10,934.80 = 5,234.17/x
  3. Step 3: Cross multiply
    7,922.51x = 10,934.80 × 5,234.17
  4. Step 4: Simplify right side
    7,922.51x = 57,234,582.20
  5. Step 5: Solve for x
    x = 57,234,582.20/7,922.51
  6. Step 6: Final answer
    x = 7,224.30

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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.