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Finding the Fourth Proportional to 10,700.70, 16,007.85 and 9,255.90

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Solution

The fourth proportional to 10,700.70, 16,007.85 and 9,255.90 is: 13,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.70 : 16,007.85 = 9,255.90 : x
  2. Step 2: Convert to fraction form
    10,700.70/16,007.85 = 9,255.90/x
  3. Step 3: Cross multiply
    10,700.70x = 16,007.85 × 9,255.90
  4. Step 4: Simplify right side
    10,700.70x = 148,167,058.82
  5. Step 5: Solve for x
    x = 148,167,058.82/10,700.70
  6. Step 6: Final answer
    x = 13,846.48

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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.