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Finding the Fourth Proportional to 8,438.55, 11,643.21 and 4,899.66

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Solution

The fourth proportional to 8,438.55, 11,643.21 and 4,899.66 is: 6,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.55 : 11,643.21 = 4,899.66 : x
  2. Step 2: Convert to fraction form
    8,438.55/11,643.21 = 4,899.66/x
  3. Step 3: Cross multiply
    8,438.55x = 11,643.21 × 4,899.66
  4. Step 4: Simplify right side
    8,438.55x = 57,047,770.31
  5. Step 5: Solve for x
    x = 57,047,770.31/8,438.55
  6. Step 6: Final answer
    x = 6,760.38

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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.