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Finding the Fourth Proportional to 7,809.65, 10,777.40 and 4,272.78

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Solution

The fourth proportional to 7,809.65, 10,777.40 and 4,272.78 is: 5,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.65 : 10,777.40 = 4,272.78 : x
  2. Step 2: Convert to fraction form
    7,809.65/10,777.40 = 4,272.78/x
  3. Step 3: Cross multiply
    7,809.65x = 10,777.40 × 4,272.78
  4. Step 4: Simplify right side
    7,809.65x = 46,049,459.17
  5. Step 5: Solve for x
    x = 46,049,459.17/7,809.65
  6. Step 6: Final answer
    x = 5,896.48

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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.