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Finding the Fourth Proportional to 6,862.59, 10,292.31 and 4,090.05

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Solution

The fourth proportional to 6,862.59, 10,292.31 and 4,090.05 is: 6,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.59 : 10,292.31 = 4,090.05 : x
  2. Step 2: Convert to fraction form
    6,862.59/10,292.31 = 4,090.05/x
  3. Step 3: Cross multiply
    6,862.59x = 10,292.31 × 4,090.05
  4. Step 4: Simplify right side
    6,862.59x = 42,096,062.52
  5. Step 5: Solve for x
    x = 42,096,062.52/6,862.59
  6. Step 6: Final answer
    x = 6,134.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.