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Finding the Fourth Proportional to 7,758.56, 11,635.56 and 3,374.96

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Solution

The fourth proportional to 7,758.56, 11,635.56 and 3,374.96 is: 5,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.56 : 11,635.56 = 3,374.96 : x
  2. Step 2: Convert to fraction form
    7,758.56/11,635.56 = 3,374.96/x
  3. Step 3: Cross multiply
    7,758.56x = 11,635.56 × 3,374.96
  4. Step 4: Simplify right side
    7,758.56x = 39,269,549.58
  5. Step 5: Solve for x
    x = 39,269,549.58/7,758.56
  6. Step 6: Final answer
    x = 5,061.45

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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.