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Finding the Fourth Proportional to 8,204.59, 11,322.33 and 4,848.61

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Solution

The fourth proportional to 8,204.59, 11,322.33 and 4,848.61 is: 6,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.59 : 11,322.33 = 4,848.61 : x
  2. Step 2: Convert to fraction form
    8,204.59/11,322.33 = 4,848.61/x
  3. Step 3: Cross multiply
    8,204.59x = 11,322.33 × 4,848.61
  4. Step 4: Simplify right side
    8,204.59x = 54,897,564.48
  5. Step 5: Solve for x
    x = 54,897,564.48/8,204.59
  6. Step 6: Final answer
    x = 6,691.08

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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.