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Finding the Fourth Proportional to 10,908.34, 16,365.16 and 3,513.50

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Solution

The fourth proportional to 10,908.34, 16,365.16 and 3,513.50 is: 5,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.34 : 16,365.16 = 3,513.50 : x
  2. Step 2: Convert to fraction form
    10,908.34/16,365.16 = 3,513.50/x
  3. Step 3: Cross multiply
    10,908.34x = 16,365.16 × 3,513.50
  4. Step 4: Simplify right side
    10,908.34x = 57,498,989.66
  5. Step 5: Solve for x
    x = 57,498,989.66/10,908.34
  6. Step 6: Final answer
    x = 5,271.10

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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.