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Finding the Fourth Proportional to 8,419.32, 11,617.34 and 4,881.80

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Solution

The fourth proportional to 8,419.32, 11,617.34 and 4,881.80 is: 6,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.32 : 11,617.34 = 4,881.80 : x
  2. Step 2: Convert to fraction form
    8,419.32/11,617.34 = 4,881.80/x
  3. Step 3: Cross multiply
    8,419.32x = 11,617.34 × 4,881.80
  4. Step 4: Simplify right side
    8,419.32x = 56,713,530.41
  5. Step 5: Solve for x
    x = 56,713,530.41/8,419.32
  6. Step 6: Final answer
    x = 6,736.12

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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.