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Finding the Fourth Proportional to 11,017.50, 16,515.31 and 6,089.46

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Solution

The fourth proportional to 11,017.50, 16,515.31 and 6,089.46 is: 9,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.50 : 16,515.31 = 6,089.46 : x
  2. Step 2: Convert to fraction form
    11,017.50/16,515.31 = 6,089.46/x
  3. Step 3: Cross multiply
    11,017.50x = 16,515.31 × 6,089.46
  4. Step 4: Simplify right side
    11,017.50x = 100,569,319.63
  5. Step 5: Solve for x
    x = 100,569,319.63/11,017.50
  6. Step 6: Final answer
    x = 9,128.14

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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.