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Finding the Fourth Proportional to 11,363.84, 15,680.98 and 8,381.28

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Solution

The fourth proportional to 11,363.84, 15,680.98 and 8,381.28 is: 11,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.84 : 15,680.98 = 8,381.28 : x
  2. Step 2: Convert to fraction form
    11,363.84/15,680.98 = 8,381.28/x
  3. Step 3: Cross multiply
    11,363.84x = 15,680.98 × 8,381.28
  4. Step 4: Simplify right side
    11,363.84x = 131,426,684.05
  5. Step 5: Solve for x
    x = 131,426,684.05/11,363.84
  6. Step 6: Final answer
    x = 11,565.34

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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.