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Finding the Fourth Proportional to 11,138.70, 15,371.79 and 7,509.63

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Solution

The fourth proportional to 11,138.70, 15,371.79 and 7,509.63 is: 10,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.70 : 15,371.79 = 7,509.63 : x
  2. Step 2: Convert to fraction form
    11,138.70/15,371.79 = 7,509.63/x
  3. Step 3: Cross multiply
    11,138.70x = 15,371.79 × 7,509.63
  4. Step 4: Simplify right side
    11,138.70x = 115,436,455.34
  5. Step 5: Solve for x
    x = 115,436,455.34/11,138.70
  6. Step 6: Final answer
    x = 10,363.55

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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.