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Finding the Fourth Proportional to 7,111.30, 9,813.56 and 3,967.48

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Solution

The fourth proportional to 7,111.30, 9,813.56 and 3,967.48 is: 5,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.30 : 9,813.56 = 3,967.48 : x
  2. Step 2: Convert to fraction form
    7,111.30/9,813.56 = 3,967.48/x
  3. Step 3: Cross multiply
    7,111.30x = 9,813.56 × 3,967.48
  4. Step 4: Simplify right side
    7,111.30x = 38,935,103.03
  5. Step 5: Solve for x
    x = 38,935,103.03/7,111.30
  6. Step 6: Final answer
    x = 5,475.10

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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.