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Finding the Fourth Proportional to 7,180.66, 9,909.76 and 4,037.05

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Solution

The fourth proportional to 7,180.66, 9,909.76 and 4,037.05 is: 5,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.66 : 9,909.76 = 4,037.05 : x
  2. Step 2: Convert to fraction form
    7,180.66/9,909.76 = 4,037.05/x
  3. Step 3: Cross multiply
    7,180.66x = 9,909.76 × 4,037.05
  4. Step 4: Simplify right side
    7,180.66x = 40,006,147.06
  5. Step 5: Solve for x
    x = 40,006,147.06/7,180.66
  6. Step 6: Final answer
    x = 5,571.38

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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.