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Finding the Fourth Proportional to 11,714.17, 16,168.15 and 8,085.31

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Solution

The fourth proportional to 11,714.17, 16,168.15 and 8,085.31 is: 11,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.17 : 16,168.15 = 8,085.31 : x
  2. Step 2: Convert to fraction form
    11,714.17/16,168.15 = 8,085.31/x
  3. Step 3: Cross multiply
    11,714.17x = 16,168.15 × 8,085.31
  4. Step 4: Simplify right side
    11,714.17x = 130,724,565.51
  5. Step 5: Solve for x
    x = 130,724,565.51/11,714.17
  6. Step 6: Final answer
    x = 11,159.52

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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.