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Finding the Fourth Proportional to 11,119.84, 15,344.88 and 6,404.80

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Solution

The fourth proportional to 11,119.84, 15,344.88 and 6,404.80 is: 8,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.84 : 15,344.88 = 6,404.80 : x
  2. Step 2: Convert to fraction form
    11,119.84/15,344.88 = 6,404.80/x
  3. Step 3: Cross multiply
    11,119.84x = 15,344.88 × 6,404.80
  4. Step 4: Simplify right side
    11,119.84x = 98,280,887.42
  5. Step 5: Solve for x
    x = 98,280,887.42/11,119.84
  6. Step 6: Final answer
    x = 8,838.34

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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.