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Finding the Fourth Proportional to 10,023.35, 15,007.28 and 7,550.82

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Solution

The fourth proportional to 10,023.35, 15,007.28 and 7,550.82 is: 11,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.35 : 15,007.28 = 7,550.82 : x
  2. Step 2: Convert to fraction form
    10,023.35/15,007.28 = 7,550.82/x
  3. Step 3: Cross multiply
    10,023.35x = 15,007.28 × 7,550.82
  4. Step 4: Simplify right side
    10,023.35x = 113,317,232.22
  5. Step 5: Solve for x
    x = 113,317,232.22/10,023.35
  6. Step 6: Final answer
    x = 11,305.33

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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.