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Finding the Fourth Proportional to 10,871.78, 16,307.66 and 3,080.66

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Solution

The fourth proportional to 10,871.78, 16,307.66 and 3,080.66 is: 4,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.78 : 16,307.66 = 3,080.66 : x
  2. Step 2: Convert to fraction form
    10,871.78/16,307.66 = 3,080.66/x
  3. Step 3: Cross multiply
    10,871.78x = 16,307.66 × 3,080.66
  4. Step 4: Simplify right side
    10,871.78x = 50,238,282.02
  5. Step 5: Solve for x
    x = 50,238,282.02/10,871.78
  6. Step 6: Final answer
    x = 4,620.98

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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.