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Finding the Fourth Proportional to 7,338.80, 10,133.09 and 4,510.08

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Solution

The fourth proportional to 7,338.80, 10,133.09 and 4,510.08 is: 6,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.80 : 10,133.09 = 4,510.08 : x
  2. Step 2: Convert to fraction form
    7,338.80/10,133.09 = 4,510.08/x
  3. Step 3: Cross multiply
    7,338.80x = 10,133.09 × 4,510.08
  4. Step 4: Simplify right side
    7,338.80x = 45,701,057.82
  5. Step 5: Solve for x
    x = 45,701,057.82/7,338.80
  6. Step 6: Final answer
    x = 6,227.32

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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.