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Finding the Fourth Proportional to 8,717.58, 13,076.50 and 2,477.61

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Solution

The fourth proportional to 8,717.58, 13,076.50 and 2,477.61 is: 3,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.58 : 13,076.50 = 2,477.61 : x
  2. Step 2: Convert to fraction form
    8,717.58/13,076.50 = 2,477.61/x
  3. Step 3: Cross multiply
    8,717.58x = 13,076.50 × 2,477.61
  4. Step 4: Simplify right side
    8,717.58x = 32,398,467.17
  5. Step 5: Solve for x
    x = 32,398,467.17/8,717.58
  6. Step 6: Final answer
    x = 3,716.45

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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.