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Finding the Fourth Proportional to 7,698.84, 11,553.72 and 3,543.54

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Solution

The fourth proportional to 7,698.84, 11,553.72 and 3,543.54 is: 5,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.84 : 11,553.72 = 3,543.54 : x
  2. Step 2: Convert to fraction form
    7,698.84/11,553.72 = 3,543.54/x
  3. Step 3: Cross multiply
    7,698.84x = 11,553.72 × 3,543.54
  4. Step 4: Simplify right side
    7,698.84x = 40,941,068.97
  5. Step 5: Solve for x
    x = 40,941,068.97/7,698.84
  6. Step 6: Final answer
    x = 5,317.82

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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.