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Finding the Fourth Proportional to 11,411.20, 17,083.20 and 8,502.40

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Solution

The fourth proportional to 11,411.20, 17,083.20 and 8,502.40 is: 12,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.20 : 17,083.20 = 8,502.40 : x
  2. Step 2: Convert to fraction form
    11,411.20/17,083.20 = 8,502.40/x
  3. Step 3: Cross multiply
    11,411.20x = 17,083.20 × 8,502.40
  4. Step 4: Simplify right side
    11,411.20x = 145,248,199.68
  5. Step 5: Solve for x
    x = 145,248,199.68/11,411.20
  6. Step 6: Final answer
    x = 12,728.56

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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.