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Finding the Fourth Proportional to 12,592.50, 18,888.28 and 5,191.40

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Solution

The fourth proportional to 12,592.50, 18,888.28 and 5,191.40 is: 7,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.50 : 18,888.28 = 5,191.40 : x
  2. Step 2: Convert to fraction form
    12,592.50/18,888.28 = 5,191.40/x
  3. Step 3: Cross multiply
    12,592.50x = 18,888.28 × 5,191.40
  4. Step 4: Simplify right side
    12,592.50x = 98,056,616.79
  5. Step 5: Solve for x
    x = 98,056,616.79/12,592.50
  6. Step 6: Final answer
    x = 7,786.91

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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.