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Finding the Fourth Proportional to 11,057.12, 15,243.84 and 7,907.84

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Solution

The fourth proportional to 11,057.12, 15,243.84 and 7,907.84 is: 10,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.12 : 15,243.84 = 7,907.84 : x
  2. Step 2: Convert to fraction form
    11,057.12/15,243.84 = 7,907.84/x
  3. Step 3: Cross multiply
    11,057.12x = 15,243.84 × 7,907.84
  4. Step 4: Simplify right side
    11,057.12x = 120,545,847.71
  5. Step 5: Solve for x
    x = 120,545,847.71/11,057.12
  6. Step 6: Final answer
    x = 10,902.10

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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.