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Finding the Fourth Proportional to 10,647.52, 15,969.12 and 2,854.51

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Solution

The fourth proportional to 10,647.52, 15,969.12 and 2,854.51 is: 4,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.52 : 15,969.12 = 2,854.51 : x
  2. Step 2: Convert to fraction form
    10,647.52/15,969.12 = 2,854.51/x
  3. Step 3: Cross multiply
    10,647.52x = 15,969.12 × 2,854.51
  4. Step 4: Simplify right side
    10,647.52x = 45,584,012.73
  5. Step 5: Solve for x
    x = 45,584,012.73/10,647.52
  6. Step 6: Final answer
    x = 4,281.19

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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.