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Finding the Fourth Proportional to 11,138.58, 16,700.58 and 4,470.66

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Solution

The fourth proportional to 11,138.58, 16,700.58 and 4,470.66 is: 6,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.58 : 16,700.58 = 4,470.66 : x
  2. Step 2: Convert to fraction form
    11,138.58/16,700.58 = 4,470.66/x
  3. Step 3: Cross multiply
    11,138.58x = 16,700.58 × 4,470.66
  4. Step 4: Simplify right side
    11,138.58x = 74,662,614.98
  5. Step 5: Solve for x
    x = 74,662,614.98/11,138.58
  6. Step 6: Final answer
    x = 6,703.06

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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.