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Finding the Fourth Proportional to 7,111.28, 9,813.76 and 3,968.08

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Solution

The fourth proportional to 7,111.28, 9,813.76 and 3,968.08 is: 5,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.28 : 9,813.76 = 3,968.08 : x
  2. Step 2: Convert to fraction form
    7,111.28/9,813.76 = 3,968.08/x
  3. Step 3: Cross multiply
    7,111.28x = 9,813.76 × 3,968.08
  4. Step 4: Simplify right side
    7,111.28x = 38,941,784.78
  5. Step 5: Solve for x
    x = 38,941,784.78/7,111.28
  6. Step 6: Final answer
    x = 5,476.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.