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Finding the Fourth Proportional to 10,199.57, 15,298.95 and 2,803.83

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Solution

The fourth proportional to 10,199.57, 15,298.95 and 2,803.83 is: 4,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.57 : 15,298.95 = 2,803.83 : x
  2. Step 2: Convert to fraction form
    10,199.57/15,298.95 = 2,803.83/x
  3. Step 3: Cross multiply
    10,199.57x = 15,298.95 × 2,803.83
  4. Step 4: Simplify right side
    10,199.57x = 42,895,608.12
  5. Step 5: Solve for x
    x = 42,895,608.12/10,199.57
  6. Step 6: Final answer
    x = 4,205.63

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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.