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Finding the Fourth Proportional to 7,648.84, 10,548.68 and 5,523.82

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Solution

The fourth proportional to 7,648.84, 10,548.68 and 5,523.82 is: 7,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.84 : 10,548.68 = 5,523.82 : x
  2. Step 2: Convert to fraction form
    7,648.84/10,548.68 = 5,523.82/x
  3. Step 3: Cross multiply
    7,648.84x = 10,548.68 × 5,523.82
  4. Step 4: Simplify right side
    7,648.84x = 58,269,009.56
  5. Step 5: Solve for x
    x = 58,269,009.56/7,648.84
  6. Step 6: Final answer
    x = 7,618.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.