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Finding the Fourth Proportional to 7,458.43, 10,292.65 and 4,101.30

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Solution

The fourth proportional to 7,458.43, 10,292.65 and 4,101.30 is: 5,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.43 : 10,292.65 = 4,101.30 : x
  2. Step 2: Convert to fraction form
    7,458.43/10,292.65 = 4,101.30/x
  3. Step 3: Cross multiply
    7,458.43x = 10,292.65 × 4,101.30
  4. Step 4: Simplify right side
    7,458.43x = 42,213,245.45
  5. Step 5: Solve for x
    x = 42,213,245.45/7,458.43
  6. Step 6: Final answer
    x = 5,659.80

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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.