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Finding the Fourth Proportional to 11,116.70, 15,589.30 and 11,116.70

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Solution

The fourth proportional to 11,116.70, 15,589.30 and 11,116.70 is: 15,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.70 : 15,589.30 = 11,116.70 : x
  2. Step 2: Convert to fraction form
    11,116.70/15,589.30 = 11,116.70/x
  3. Step 3: Cross multiply
    11,116.70x = 15,589.30 × 11,116.70
  4. Step 4: Simplify right side
    11,116.70x = 173,301,571.31
  5. Step 5: Solve for x
    x = 173,301,571.31/11,116.70
  6. Step 6: Final answer
    x = 15,589.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.