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Finding the Fourth Proportional to 7,738.84, 11,592.78 and 4,442.68

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Solution

The fourth proportional to 7,738.84, 11,592.78 and 4,442.68 is: 6,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.84 : 11,592.78 = 4,442.68 : x
  2. Step 2: Convert to fraction form
    7,738.84/11,592.78 = 4,442.68/x
  3. Step 3: Cross multiply
    7,738.84x = 11,592.78 × 4,442.68
  4. Step 4: Simplify right side
    7,738.84x = 51,503,011.85
  5. Step 5: Solve for x
    x = 51,503,011.85/7,738.84
  6. Step 6: Final answer
    x = 6,655.13

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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.