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Finding the Fourth Proportional to 7,837.74, 10,817.01 and 4,693.86

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Solution

The fourth proportional to 7,837.74, 10,817.01 and 4,693.86 is: 6,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.74 : 10,817.01 = 4,693.86 : x
  2. Step 2: Convert to fraction form
    7,837.74/10,817.01 = 4,693.86/x
  3. Step 3: Cross multiply
    7,837.74x = 10,817.01 × 4,693.86
  4. Step 4: Simplify right side
    7,837.74x = 50,773,530.56
  5. Step 5: Solve for x
    x = 50,773,530.56/7,837.74
  6. Step 6: Final answer
    x = 6,478.08

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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.