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Finding the Fourth Proportional to 7,637.68, 11,394.41 and 7,539.40

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Solution

The fourth proportional to 7,637.68, 11,394.41 and 7,539.40 is: 11,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.68 : 11,394.41 = 7,539.40 : x
  2. Step 2: Convert to fraction form
    7,637.68/11,394.41 = 7,539.40/x
  3. Step 3: Cross multiply
    7,637.68x = 11,394.41 × 7,539.40
  4. Step 4: Simplify right side
    7,637.68x = 85,907,014.75
  5. Step 5: Solve for x
    x = 85,907,014.75/7,637.68
  6. Step 6: Final answer
    x = 11,247.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.