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Finding the Fourth Proportional to 10,874.52, 16,309.35 and 5,322.30

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Solution

The fourth proportional to 10,874.52, 16,309.35 and 5,322.30 is: 7,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.52 : 16,309.35 = 5,322.30 : x
  2. Step 2: Convert to fraction form
    10,874.52/16,309.35 = 5,322.30/x
  3. Step 3: Cross multiply
    10,874.52x = 16,309.35 × 5,322.30
  4. Step 4: Simplify right side
    10,874.52x = 86,803,253.51
  5. Step 5: Solve for x
    x = 86,803,253.51/10,874.52
  6. Step 6: Final answer
    x = 7,982.26

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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.