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Finding the Fourth Proportional to 7,587.68, 11,361.47 and 5,936.49

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Solution

The fourth proportional to 7,587.68, 11,361.47 and 5,936.49 is: 8,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.68 : 11,361.47 = 5,936.49 : x
  2. Step 2: Convert to fraction form
    7,587.68/11,361.47 = 5,936.49/x
  3. Step 3: Cross multiply
    7,587.68x = 11,361.47 × 5,936.49
  4. Step 4: Simplify right side
    7,587.68x = 67,447,223.36
  5. Step 5: Solve for x
    x = 67,447,223.36/7,587.68
  6. Step 6: Final answer
    x = 8,889.05

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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.