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Finding the Fourth Proportional to 6,588.60, 9,876.83 and 2,426.33

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Solution

The fourth proportional to 6,588.60, 9,876.83 and 2,426.33 is: 3,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.60 : 9,876.83 = 2,426.33 : x
  2. Step 2: Convert to fraction form
    6,588.60/9,876.83 = 2,426.33/x
  3. Step 3: Cross multiply
    6,588.60x = 9,876.83 × 2,426.33
  4. Step 4: Simplify right side
    6,588.60x = 23,964,387.42
  5. Step 5: Solve for x
    x = 23,964,387.42/6,588.60
  6. Step 6: Final answer
    x = 3,637.25

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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.