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Finding the Fourth Proportional to 7,558.71, 10,431.62 and 4,202.61

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Solution

The fourth proportional to 7,558.71, 10,431.62 and 4,202.61 is: 5,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.71 : 10,431.62 = 4,202.61 : x
  2. Step 2: Convert to fraction form
    7,558.71/10,431.62 = 4,202.61/x
  3. Step 3: Cross multiply
    7,558.71x = 10,431.62 × 4,202.61
  4. Step 4: Simplify right side
    7,558.71x = 43,840,030.53
  5. Step 5: Solve for x
    x = 43,840,030.53/7,558.71
  6. Step 6: Final answer
    x = 5,799.94

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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.