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Finding the Fourth Proportional to 7,764.84, 11,644.74 and 2,569.50

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Solution

The fourth proportional to 7,764.84, 11,644.74 and 2,569.50 is: 3,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.84 : 11,644.74 = 2,569.50 : x
  2. Step 2: Convert to fraction form
    7,764.84/11,644.74 = 2,569.50/x
  3. Step 3: Cross multiply
    7,764.84x = 11,644.74 × 2,569.50
  4. Step 4: Simplify right side
    7,764.84x = 29,921,159.43
  5. Step 5: Solve for x
    x = 29,921,159.43/7,764.84
  6. Step 6: Final answer
    x = 3,853.42

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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.