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Finding the Fourth Proportional to 6,686.36, 10,044.05 and 5,228.36

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Solution

The fourth proportional to 6,686.36, 10,044.05 and 5,228.36 is: 7,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.36 : 10,044.05 = 5,228.36 : x
  2. Step 2: Convert to fraction form
    6,686.36/10,044.05 = 5,228.36/x
  3. Step 3: Cross multiply
    6,686.36x = 10,044.05 × 5,228.36
  4. Step 4: Simplify right side
    6,686.36x = 52,513,909.26
  5. Step 5: Solve for x
    x = 52,513,909.26/6,686.36
  6. Step 6: Final answer
    x = 7,853.89

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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.