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Finding the Fourth Proportional to 8,732.59, 13,100.81 and 2,492.46

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Solution

The fourth proportional to 8,732.59, 13,100.81 and 2,492.46 is: 3,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.59 : 13,100.81 = 2,492.46 : x
  2. Step 2: Convert to fraction form
    8,732.59/13,100.81 = 2,492.46/x
  3. Step 3: Cross multiply
    8,732.59x = 13,100.81 × 2,492.46
  4. Step 4: Simplify right side
    8,732.59x = 32,653,232.43
  5. Step 5: Solve for x
    x = 32,653,232.43/8,732.59
  6. Step 6: Final answer
    x = 3,739.24

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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.