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Finding the Fourth Proportional to 8,111.76, 11,193.12 and 4,967.28

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Solution

The fourth proportional to 8,111.76, 11,193.12 and 4,967.28 is: 6,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.76 : 11,193.12 = 4,967.28 : x
  2. Step 2: Convert to fraction form
    8,111.76/11,193.12 = 4,967.28/x
  3. Step 3: Cross multiply
    8,111.76x = 11,193.12 × 4,967.28
  4. Step 4: Simplify right side
    8,111.76x = 55,599,361.11
  5. Step 5: Solve for x
    x = 55,599,361.11/8,111.76
  6. Step 6: Final answer
    x = 6,854.17

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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.