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Finding the Fourth Proportional to 7,521.93, 10,380.14 and 4,164.68

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Solution

The fourth proportional to 7,521.93, 10,380.14 and 4,164.68 is: 5,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.93 : 10,380.14 = 4,164.68 : x
  2. Step 2: Convert to fraction form
    7,521.93/10,380.14 = 4,164.68/x
  3. Step 3: Cross multiply
    7,521.93x = 10,380.14 × 4,164.68
  4. Step 4: Simplify right side
    7,521.93x = 43,229,961.46
  5. Step 5: Solve for x
    x = 43,229,961.46/7,521.93
  6. Step 6: Final answer
    x = 5,747.19

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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.