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Finding the Fourth Proportional to 7,447.43, 10,276.80 and 4,090.25

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Solution

The fourth proportional to 7,447.43, 10,276.80 and 4,090.25 is: 5,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.43 : 10,276.80 = 4,090.25 : x
  2. Step 2: Convert to fraction form
    7,447.43/10,276.80 = 4,090.25/x
  3. Step 3: Cross multiply
    7,447.43x = 10,276.80 × 4,090.25
  4. Step 4: Simplify right side
    7,447.43x = 42,034,681.20
  5. Step 5: Solve for x
    x = 42,034,681.20/7,447.43
  6. Step 6: Final answer
    x = 5,644.19

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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.