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Finding the Fourth Proportional to 10,767.15, 16,134.93 and 7,653.15

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Solution

The fourth proportional to 10,767.15, 16,134.93 and 7,653.15 is: 11,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.15 : 16,134.93 = 7,653.15 : x
  2. Step 2: Convert to fraction form
    10,767.15/16,134.93 = 7,653.15/x
  3. Step 3: Cross multiply
    10,767.15x = 16,134.93 × 7,653.15
  4. Step 4: Simplify right side
    10,767.15x = 123,483,039.53
  5. Step 5: Solve for x
    x = 123,483,039.53/10,767.15
  6. Step 6: Final answer
    x = 11,468.50

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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.