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Finding the Fourth Proportional to 10,511.88, 15,763.07 and 3,113.75

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Solution

The fourth proportional to 10,511.88, 15,763.07 and 3,113.75 is: 4,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.88 : 15,763.07 = 3,113.75 : x
  2. Step 2: Convert to fraction form
    10,511.88/15,763.07 = 3,113.75/x
  3. Step 3: Cross multiply
    10,511.88x = 15,763.07 × 3,113.75
  4. Step 4: Simplify right side
    10,511.88x = 49,082,164.83
  5. Step 5: Solve for x
    x = 49,082,164.83/10,511.88
  6. Step 6: Final answer
    x = 4,669.21

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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.