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Finding the Fourth Proportional to 7,751.86, 10,697.76 and 4,215.14

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Solution

The fourth proportional to 7,751.86, 10,697.76 and 4,215.14 is: 5,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.86 : 10,697.76 = 4,215.14 : x
  2. Step 2: Convert to fraction form
    7,751.86/10,697.76 = 4,215.14/x
  3. Step 3: Cross multiply
    7,751.86x = 10,697.76 × 4,215.14
  4. Step 4: Simplify right side
    7,751.86x = 45,092,556.09
  5. Step 5: Solve for x
    x = 45,092,556.09/7,751.86
  6. Step 6: Final answer
    x = 5,817.00

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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.