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Finding the Fourth Proportional to 11,178.39, 16,782.25 and 7,497.10

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Solution

The fourth proportional to 11,178.39, 16,782.25 and 7,497.10 is: 11,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.39 : 16,782.25 = 7,497.10 : x
  2. Step 2: Convert to fraction form
    11,178.39/16,782.25 = 7,497.10/x
  3. Step 3: Cross multiply
    11,178.39x = 16,782.25 × 7,497.10
  4. Step 4: Simplify right side
    11,178.39x = 125,818,206.48
  5. Step 5: Solve for x
    x = 125,818,206.48/11,178.39
  6. Step 6: Final answer
    x = 11,255.49

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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.