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Finding the Fourth Proportional to 10,499.77, 15,750.56 and 3,838.10

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Solution

The fourth proportional to 10,499.77, 15,750.56 and 3,838.10 is: 5,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.77 : 15,750.56 = 3,838.10 : x
  2. Step 2: Convert to fraction form
    10,499.77/15,750.56 = 3,838.10/x
  3. Step 3: Cross multiply
    10,499.77x = 15,750.56 × 3,838.10
  4. Step 4: Simplify right side
    10,499.77x = 60,452,155.18
  5. Step 5: Solve for x
    x = 60,452,155.18/10,499.77
  6. Step 6: Final answer
    x = 5,757.48

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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.