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Finding the Fourth Proportional to 6,695.86, 10,040.28 and 2,312.28

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Solution

The fourth proportional to 6,695.86, 10,040.28 and 2,312.28 is: 3,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.86 : 10,040.28 = 2,312.28 : x
  2. Step 2: Convert to fraction form
    6,695.86/10,040.28 = 2,312.28/x
  3. Step 3: Cross multiply
    6,695.86x = 10,040.28 × 2,312.28
  4. Step 4: Simplify right side
    6,695.86x = 23,215,938.64
  5. Step 5: Solve for x
    x = 23,215,938.64/6,695.86
  6. Step 6: Final answer
    x = 3,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.