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Finding the Fourth Proportional to 7,454.63, 10,287.34 and 4,097.66

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Solution

The fourth proportional to 7,454.63, 10,287.34 and 4,097.66 is: 5,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.63 : 10,287.34 = 4,097.66 : x
  2. Step 2: Convert to fraction form
    7,454.63/10,287.34 = 4,097.66/x
  3. Step 3: Cross multiply
    7,454.63x = 10,287.34 × 4,097.66
  4. Step 4: Simplify right side
    7,454.63x = 42,153,959.94
  5. Step 5: Solve for x
    x = 42,153,959.94/7,454.63
  6. Step 6: Final answer
    x = 5,654.73

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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.