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Finding the Fourth Proportional to 7,458.48, 10,292.97 and 4,101.57

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Solution

The fourth proportional to 7,458.48, 10,292.97 and 4,101.57 is: 5,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.48 : 10,292.97 = 4,101.57 : x
  2. Step 2: Convert to fraction form
    7,458.48/10,292.97 = 4,101.57/x
  3. Step 3: Cross multiply
    7,458.48x = 10,292.97 × 4,101.57
  4. Step 4: Simplify right side
    7,458.48x = 42,217,336.96
  5. Step 5: Solve for x
    x = 42,217,336.96/7,458.48
  6. Step 6: Final answer
    x = 5,660.31

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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.