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Finding the Fourth Proportional to 10,135.43, 15,203.14 and 7,379.64

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Solution

The fourth proportional to 10,135.43, 15,203.14 and 7,379.64 is: 11,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.43 : 15,203.14 = 7,379.64 : x
  2. Step 2: Convert to fraction form
    10,135.43/15,203.14 = 7,379.64/x
  3. Step 3: Cross multiply
    10,135.43x = 15,203.14 × 7,379.64
  4. Step 4: Simplify right side
    10,135.43x = 112,193,723.13
  5. Step 5: Solve for x
    x = 112,193,723.13/10,135.43
  6. Step 6: Final answer
    x = 11,069.46

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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.