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Finding the Fourth Proportional to 11,411.70, 17,117.55 and 8,339.70

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Solution

The fourth proportional to 11,411.70, 17,117.55 and 8,339.70 is: 12,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.70 : 17,117.55 = 8,339.70 : x
  2. Step 2: Convert to fraction form
    11,411.70/17,117.55 = 8,339.70/x
  3. Step 3: Cross multiply
    11,411.70x = 17,117.55 × 8,339.70
  4. Step 4: Simplify right side
    11,411.70x = 142,755,231.74
  5. Step 5: Solve for x
    x = 142,755,231.74/11,411.70
  6. Step 6: Final answer
    x = 12,509.55

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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.