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Finding the Fourth Proportional to 8,828, 13,193.16 and 7,088.48

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Solution

The fourth proportional to 8,828, 13,193.16 and 7,088.48 is: 10,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828 : 13,193.16 = 7,088.48 : x
  2. Step 2: Convert to fraction form
    8,828/13,193.16 = 7,088.48/x
  3. Step 3: Cross multiply
    8,828x = 13,193.16 × 7,088.48
  4. Step 4: Simplify right side
    8,828x = 93,519,450.80
  5. Step 5: Solve for x
    x = 93,519,450.80/8,828
  6. Step 6: Final answer
    x = 10,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.