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Finding the Fourth Proportional to 7,559.62, 10,431.46 and 4,202.58

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Solution

The fourth proportional to 7,559.62, 10,431.46 and 4,202.58 is: 5,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.62 : 10,431.46 = 4,202.58 : x
  2. Step 2: Convert to fraction form
    7,559.62/10,431.46 = 4,202.58/x
  3. Step 3: Cross multiply
    7,559.62x = 10,431.46 × 4,202.58
  4. Step 4: Simplify right side
    7,559.62x = 43,839,045.17
  5. Step 5: Solve for x
    x = 43,839,045.17/7,559.62
  6. Step 6: Final answer
    x = 5,799.11

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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.