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Finding the Fourth Proportional to 11,642.40, 17,465.76 and 3,851.28

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Solution

The fourth proportional to 11,642.40, 17,465.76 and 3,851.28 is: 5,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.40 : 17,465.76 = 3,851.28 : x
  2. Step 2: Convert to fraction form
    11,642.40/17,465.76 = 3,851.28/x
  3. Step 3: Cross multiply
    11,642.40x = 17,465.76 × 3,851.28
  4. Step 4: Simplify right side
    11,642.40x = 67,265,532.17
  5. Step 5: Solve for x
    x = 67,265,532.17/11,642.40
  6. Step 6: Final answer
    x = 5,777.63

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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.