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Finding the Fourth Proportional to 8,907.83, 12,293.13 and 5,764.02

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Solution

The fourth proportional to 8,907.83, 12,293.13 and 5,764.02 is: 7,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.83 : 12,293.13 = 5,764.02 : x
  2. Step 2: Convert to fraction form
    8,907.83/12,293.13 = 5,764.02/x
  3. Step 3: Cross multiply
    8,907.83x = 12,293.13 × 5,764.02
  4. Step 4: Simplify right side
    8,907.83x = 70,857,847.18
  5. Step 5: Solve for x
    x = 70,857,847.18/8,907.83
  6. Step 6: Final answer
    x = 7,954.56

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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.