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Finding the Fourth Proportional to 7,671.83, 11,507.75 and 2,407.66

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Solution

The fourth proportional to 7,671.83, 11,507.75 and 2,407.66 is: 3,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.83 : 11,507.75 = 2,407.66 : x
  2. Step 2: Convert to fraction form
    7,671.83/11,507.75 = 2,407.66/x
  3. Step 3: Cross multiply
    7,671.83x = 11,507.75 × 2,407.66
  4. Step 4: Simplify right side
    7,671.83x = 27,706,727.74
  5. Step 5: Solve for x
    x = 27,706,727.74/7,671.83
  6. Step 6: Final answer
    x = 3,611.49

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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.