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Finding the Fourth Proportional to 7,458.75, 10,292.40 and 4,101.71

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Solution

The fourth proportional to 7,458.75, 10,292.40 and 4,101.71 is: 5,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.75 : 10,292.40 = 4,101.71 : x
  2. Step 2: Convert to fraction form
    7,458.75/10,292.40 = 4,101.71/x
  3. Step 3: Cross multiply
    7,458.75x = 10,292.40 × 4,101.71
  4. Step 4: Simplify right side
    7,458.75x = 42,216,388.54
  5. Step 5: Solve for x
    x = 42,216,388.54/7,458.75
  6. Step 6: Final answer
    x = 5,659.98

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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.