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Finding the Fourth Proportional to 10,871.84, 16,317.28 and 5,610.40

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Solution

The fourth proportional to 10,871.84, 16,317.28 and 5,610.40 is: 8,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.84 : 16,317.28 = 5,610.40 : x
  2. Step 2: Convert to fraction form
    10,871.84/16,317.28 = 5,610.40/x
  3. Step 3: Cross multiply
    10,871.84x = 16,317.28 × 5,610.40
  4. Step 4: Simplify right side
    10,871.84x = 91,546,467.71
  5. Step 5: Solve for x
    x = 91,546,467.71/10,871.84
  6. Step 6: Final answer
    x = 8,420.51

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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.