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Finding the Fourth Proportional to 7,458.71, 10,293.26 and 4,101.84

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Solution

The fourth proportional to 7,458.71, 10,293.26 and 4,101.84 is: 5,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.71 : 10,293.26 = 4,101.84 : x
  2. Step 2: Convert to fraction form
    7,458.71/10,293.26 = 4,101.84/x
  3. Step 3: Cross multiply
    7,458.71x = 10,293.26 × 4,101.84
  4. Step 4: Simplify right side
    7,458.71x = 42,221,254.13
  5. Step 5: Solve for x
    x = 42,221,254.13/7,458.71
  6. Step 6: Final answer
    x = 5,660.66

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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.