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Finding the Fourth Proportional to 7,559.17, 10,431.84 and 4,202.13

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Solution

The fourth proportional to 7,559.17, 10,431.84 and 4,202.13 is: 5,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.17 : 10,431.84 = 4,202.13 : x
  2. Step 2: Convert to fraction form
    7,559.17/10,431.84 = 4,202.13/x
  3. Step 3: Cross multiply
    7,559.17x = 10,431.84 × 4,202.13
  4. Step 4: Simplify right side
    7,559.17x = 43,835,947.82
  5. Step 5: Solve for x
    x = 43,835,947.82/7,559.17
  6. Step 6: Final answer
    x = 5,799.04

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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.