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Finding the Fourth Proportional to 7,758.32, 11,637.75 and 1,914.98

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Solution

The fourth proportional to 7,758.32, 11,637.75 and 1,914.98 is: 2,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.32 : 11,637.75 = 1,914.98 : x
  2. Step 2: Convert to fraction form
    7,758.32/11,637.75 = 1,914.98/x
  3. Step 3: Cross multiply
    7,758.32x = 11,637.75 × 1,914.98
  4. Step 4: Simplify right side
    7,758.32x = 22,286,058.50
  5. Step 5: Solve for x
    x = 22,286,058.50/7,758.32
  6. Step 6: Final answer
    x = 2,872.54

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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.