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Finding the Fourth Proportional to 8,642.13, 11,926.08 and 5,498.25

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Solution

The fourth proportional to 8,642.13, 11,926.08 and 5,498.25 is: 7,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.13 : 11,926.08 = 5,498.25 : x
  2. Step 2: Convert to fraction form
    8,642.13/11,926.08 = 5,498.25/x
  3. Step 3: Cross multiply
    8,642.13x = 11,926.08 × 5,498.25
  4. Step 4: Simplify right side
    8,642.13x = 65,572,569.36
  5. Step 5: Solve for x
    x = 65,572,569.36/8,642.13
  6. Step 6: Final answer
    x = 7,587.55

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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.