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Finding the Fourth Proportional to 10,071.59, 13,898.12 and 5,822.33

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Solution

The fourth proportional to 10,071.59, 13,898.12 and 5,822.33 is: 8,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.59 : 13,898.12 = 5,822.33 : x
  2. Step 2: Convert to fraction form
    10,071.59/13,898.12 = 5,822.33/x
  3. Step 3: Cross multiply
    10,071.59x = 13,898.12 × 5,822.33
  4. Step 4: Simplify right side
    10,071.59x = 80,919,342.42
  5. Step 5: Solve for x
    x = 80,919,342.42/10,071.59
  6. Step 6: Final answer
    x = 8,034.42

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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.