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Finding the Fourth Proportional to 7,796.16, 10,760.64 and 5,312

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Solution

The fourth proportional to 7,796.16, 10,760.64 and 5,312 is: 7,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.16 : 10,760.64 = 5,312 : x
  2. Step 2: Convert to fraction form
    7,796.16/10,760.64 = 5,312/x
  3. Step 3: Cross multiply
    7,796.16x = 10,760.64 × 5,312
  4. Step 4: Simplify right side
    7,796.16x = 57,160,519.68
  5. Step 5: Solve for x
    x = 57,160,519.68/7,796.16
  6. Step 6: Final answer
    x = 7,331.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.