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Finding the Fourth Proportional to 7,764.84, 11,625.30 and 7,152.48

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Solution

The fourth proportional to 7,764.84, 11,625.30 and 7,152.48 is: 10,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.84 : 11,625.30 = 7,152.48 : x
  2. Step 2: Convert to fraction form
    7,764.84/11,625.30 = 7,152.48/x
  3. Step 3: Cross multiply
    7,764.84x = 11,625.30 × 7,152.48
  4. Step 4: Simplify right side
    7,764.84x = 83,149,725.74
  5. Step 5: Solve for x
    x = 83,149,725.74/7,764.84
  6. Step 6: Final answer
    x = 10,708.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.