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Finding the Fourth Proportional to 11,381.78, 15,705.30 and 6,345.40

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Solution

The fourth proportional to 11,381.78, 15,705.30 and 6,345.40 is: 8,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.78 : 15,705.30 = 6,345.40 : x
  2. Step 2: Convert to fraction form
    11,381.78/15,705.30 = 6,345.40/x
  3. Step 3: Cross multiply
    11,381.78x = 15,705.30 × 6,345.40
  4. Step 4: Simplify right side
    11,381.78x = 99,656,410.62
  5. Step 5: Solve for x
    x = 99,656,410.62/11,381.78
  6. Step 6: Final answer
    x = 8,755.78

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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.