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Finding the Fourth Proportional to 10,302.88, 15,454.32 and 2,511.67

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Solution

The fourth proportional to 10,302.88, 15,454.32 and 2,511.67 is: 3,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.88 : 15,454.32 = 2,511.67 : x
  2. Step 2: Convert to fraction form
    10,302.88/15,454.32 = 2,511.67/x
  3. Step 3: Cross multiply
    10,302.88x = 15,454.32 × 2,511.67
  4. Step 4: Simplify right side
    10,302.88x = 38,816,151.91
  5. Step 5: Solve for x
    x = 38,816,151.91/10,302.88
  6. Step 6: Final answer
    x = 3,767.51

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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.