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Finding the Fourth Proportional to 10,750.40, 16,108.32 and 9,022.40

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Solution

The fourth proportional to 10,750.40, 16,108.32 and 9,022.40 is: 13,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.40 : 16,108.32 = 9,022.40 : x
  2. Step 2: Convert to fraction form
    10,750.40/16,108.32 = 9,022.40/x
  3. Step 3: Cross multiply
    10,750.40x = 16,108.32 × 9,022.40
  4. Step 4: Simplify right side
    10,750.40x = 145,335,706.37
  5. Step 5: Solve for x
    x = 145,335,706.37/10,750.40
  6. Step 6: Final answer
    x = 13,519.10

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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.