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Finding the Fourth Proportional to 6,291.23, 8,690.75 and 5,959.08

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Solution

The fourth proportional to 6,291.23, 8,690.75 and 5,959.08 is: 8,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.23 : 8,690.75 = 5,959.08 : x
  2. Step 2: Convert to fraction form
    6,291.23/8,690.75 = 5,959.08/x
  3. Step 3: Cross multiply
    6,291.23x = 8,690.75 × 5,959.08
  4. Step 4: Simplify right side
    6,291.23x = 51,788,844.71
  5. Step 5: Solve for x
    x = 51,788,844.71/6,291.23
  6. Step 6: Final answer
    x = 8,231.92

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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.