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Finding the Fourth Proportional to 10,662.84, 15,960.24 and 8,984.52

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Solution

The fourth proportional to 10,662.84, 15,960.24 and 8,984.52 is: 13,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.84 : 15,960.24 = 8,984.52 : x
  2. Step 2: Convert to fraction form
    10,662.84/15,960.24 = 8,984.52/x
  3. Step 3: Cross multiply
    10,662.84x = 15,960.24 × 8,984.52
  4. Step 4: Simplify right side
    10,662.84x = 143,395,095.48
  5. Step 5: Solve for x
    x = 143,395,095.48/10,662.84
  6. Step 6: Final answer
    x = 13,448.11

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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.