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Finding the Fourth Proportional to 8,490.96, 11,714.31 and 6,258.18

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Solution

The fourth proportional to 8,490.96, 11,714.31 and 6,258.18 is: 8,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.96 : 11,714.31 = 6,258.18 : x
  2. Step 2: Convert to fraction form
    8,490.96/11,714.31 = 6,258.18/x
  3. Step 3: Cross multiply
    8,490.96x = 11,714.31 × 6,258.18
  4. Step 4: Simplify right side
    8,490.96x = 73,310,240.10
  5. Step 5: Solve for x
    x = 73,310,240.10/8,490.96
  6. Step 6: Final answer
    x = 8,633.91

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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.