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Finding the Fourth Proportional to 10,077.87, 13,909.26 and 7,538.37

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Solution

The fourth proportional to 10,077.87, 13,909.26 and 7,538.37 is: 10,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.87 : 13,909.26 = 7,538.37 : x
  2. Step 2: Convert to fraction form
    10,077.87/13,909.26 = 7,538.37/x
  3. Step 3: Cross multiply
    10,077.87x = 13,909.26 × 7,538.37
  4. Step 4: Simplify right side
    10,077.87x = 104,853,148.31
  5. Step 5: Solve for x
    x = 104,853,148.31/10,077.87
  6. Step 6: Final answer
    x = 10,404.30

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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.