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Finding the Fourth Proportional to 7,458.56, 10,293 and 4,101.46

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Solution

The fourth proportional to 7,458.56, 10,293 and 4,101.46 is: 5,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.56 : 10,293 = 4,101.46 : x
  2. Step 2: Convert to fraction form
    7,458.56/10,293 = 4,101.46/x
  3. Step 3: Cross multiply
    7,458.56x = 10,293 × 4,101.46
  4. Step 4: Simplify right side
    7,458.56x = 42,216,327.78
  5. Step 5: Solve for x
    x = 42,216,327.78/7,458.56
  6. Step 6: Final answer
    x = 5,660.12

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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.