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Finding the Fourth Proportional to 10,427.16, 15,642.24 and 3,851.64

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Solution

The fourth proportional to 10,427.16, 15,642.24 and 3,851.64 is: 5,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.16 : 15,642.24 = 3,851.64 : x
  2. Step 2: Convert to fraction form
    10,427.16/15,642.24 = 3,851.64/x
  3. Step 3: Cross multiply
    10,427.16x = 15,642.24 × 3,851.64
  4. Step 4: Simplify right side
    10,427.16x = 60,248,277.27
  5. Step 5: Solve for x
    x = 60,248,277.27/10,427.16
  6. Step 6: Final answer
    x = 5,778.01

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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.