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Finding the Fourth Proportional to 11,259.75, 15,538.47 and 6,291.75

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Solution

The fourth proportional to 11,259.75, 15,538.47 and 6,291.75 is: 8,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.75 : 15,538.47 = 6,291.75 : x
  2. Step 2: Convert to fraction form
    11,259.75/15,538.47 = 6,291.75/x
  3. Step 3: Cross multiply
    11,259.75x = 15,538.47 × 6,291.75
  4. Step 4: Simplify right side
    11,259.75x = 97,764,168.62
  5. Step 5: Solve for x
    x = 97,764,168.62/11,259.75
  6. Step 6: Final answer
    x = 8,682.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.