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Finding the Fourth Proportional to 10,881.92, 16,322.80 and 5,038.56

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Solution

The fourth proportional to 10,881.92, 16,322.80 and 5,038.56 is: 7,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.92 : 16,322.80 = 5,038.56 : x
  2. Step 2: Convert to fraction form
    10,881.92/16,322.80 = 5,038.56/x
  3. Step 3: Cross multiply
    10,881.92x = 16,322.80 × 5,038.56
  4. Step 4: Simplify right side
    10,881.92x = 82,243,407.17
  5. Step 5: Solve for x
    x = 82,243,407.17/10,881.92
  6. Step 6: Final answer
    x = 7,557.80

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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.