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Finding the Fourth Proportional to 10,499.84, 15,752.84 and 3,104.49

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Solution

The fourth proportional to 10,499.84, 15,752.84 and 3,104.49 is: 4,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.84 : 15,752.84 = 3,104.49 : x
  2. Step 2: Convert to fraction form
    10,499.84/15,752.84 = 3,104.49/x
  3. Step 3: Cross multiply
    10,499.84x = 15,752.84 × 3,104.49
  4. Step 4: Simplify right side
    10,499.84x = 48,904,586.88
  5. Step 5: Solve for x
    x = 48,904,586.88/10,499.84
  6. Step 6: Final answer
    x = 4,657.65

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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.