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Finding the Fourth Proportional to 7,314.91, 10,094.96 and 4,085.17

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Solution

The fourth proportional to 7,314.91, 10,094.96 and 4,085.17 is: 5,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.91 : 10,094.96 = 4,085.17 : x
  2. Step 2: Convert to fraction form
    7,314.91/10,094.96 = 4,085.17/x
  3. Step 3: Cross multiply
    7,314.91x = 10,094.96 × 4,085.17
  4. Step 4: Simplify right side
    7,314.91x = 41,239,627.74
  5. Step 5: Solve for x
    x = 41,239,627.74/7,314.91
  6. Step 6: Final answer
    x = 5,637.75

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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.