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Finding the Fourth Proportional to 11,750.97, 16,215.32 and 6,714.19

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Solution

The fourth proportional to 11,750.97, 16,215.32 and 6,714.19 is: 9,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.97 : 16,215.32 = 6,714.19 : x
  2. Step 2: Convert to fraction form
    11,750.97/16,215.32 = 6,714.19/x
  3. Step 3: Cross multiply
    11,750.97x = 16,215.32 × 6,714.19
  4. Step 4: Simplify right side
    11,750.97x = 108,872,705.82
  5. Step 5: Solve for x
    x = 108,872,705.82/11,750.97
  6. Step 6: Final answer
    x = 9,265.00

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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.