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Finding the Fourth Proportional to 8,471.04, 11,689.28 and 4,933.76

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Solution

The fourth proportional to 8,471.04, 11,689.28 and 4,933.76 is: 6,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.04 : 11,689.28 = 4,933.76 : x
  2. Step 2: Convert to fraction form
    8,471.04/11,689.28 = 4,933.76/x
  3. Step 3: Cross multiply
    8,471.04x = 11,689.28 × 4,933.76
  4. Step 4: Simplify right side
    8,471.04x = 57,672,102.09
  5. Step 5: Solve for x
    x = 57,672,102.09/8,471.04
  6. Step 6: Final answer
    x = 6,808.15

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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.