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Finding the Fourth Proportional to 7,758.31, 11,637.48 and 6,388.69

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Solution

The fourth proportional to 7,758.31, 11,637.48 and 6,388.69 is: 9,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.31 : 11,637.48 = 6,388.69 : x
  2. Step 2: Convert to fraction form
    7,758.31/11,637.48 = 6,388.69/x
  3. Step 3: Cross multiply
    7,758.31x = 11,637.48 × 6,388.69
  4. Step 4: Simplify right side
    7,758.31x = 74,348,252.10
  5. Step 5: Solve for x
    x = 74,348,252.10/7,758.31
  6. Step 6: Final answer
    x = 9,583.05

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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.