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Finding the Fourth Proportional to 10,429.54, 15,642.14 and 3,851.22

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Solution

The fourth proportional to 10,429.54, 15,642.14 and 3,851.22 is: 5,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.54 : 15,642.14 = 3,851.22 : x
  2. Step 2: Convert to fraction form
    10,429.54/15,642.14 = 3,851.22/x
  3. Step 3: Cross multiply
    10,429.54x = 15,642.14 × 3,851.22
  4. Step 4: Simplify right side
    10,429.54x = 60,241,322.41
  5. Step 5: Solve for x
    x = 60,241,322.41/10,429.54
  6. Step 6: Final answer
    x = 5,776.03

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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.