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Finding the Fourth Proportional to 8,294, 11,447.16 and 4,757.36

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Solution

The fourth proportional to 8,294, 11,447.16 and 4,757.36 is: 6,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 11,447.16 = 4,757.36 : x
  2. Step 2: Convert to fraction form
    8,294/11,447.16 = 4,757.36/x
  3. Step 3: Cross multiply
    8,294x = 11,447.16 × 4,757.36
  4. Step 4: Simplify right side
    8,294x = 54,458,261.10
  5. Step 5: Solve for x
    x = 54,458,261.10/8,294
  6. Step 6: Final answer
    x = 6,565.98

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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.