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Finding the Fourth Proportional to 10,071.83, 13,898.06 and 5,822.22

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Solution

The fourth proportional to 10,071.83, 13,898.06 and 5,822.22 is: 8,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.83 : 13,898.06 = 5,822.22 : x
  2. Step 2: Convert to fraction form
    10,071.83/13,898.06 = 5,822.22/x
  3. Step 3: Cross multiply
    10,071.83x = 13,898.06 × 5,822.22
  4. Step 4: Simplify right side
    10,071.83x = 80,917,555.62
  5. Step 5: Solve for x
    x = 80,917,555.62/10,071.83
  6. Step 6: Final answer
    x = 8,034.05

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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.