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Finding the Fourth Proportional to 10,851.80, 16,280.22 and 4,277.48

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Solution

The fourth proportional to 10,851.80, 16,280.22 and 4,277.48 is: 6,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.80 : 16,280.22 = 4,277.48 : x
  2. Step 2: Convert to fraction form
    10,851.80/16,280.22 = 4,277.48/x
  3. Step 3: Cross multiply
    10,851.80x = 16,280.22 × 4,277.48
  4. Step 4: Simplify right side
    10,851.80x = 69,638,315.45
  5. Step 5: Solve for x
    x = 69,638,315.45/10,851.80
  6. Step 6: Final answer
    x = 6,417.21

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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.