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Finding the Fourth Proportional to 11,433.71, 17,150.57 and 7,509.77

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Solution

The fourth proportional to 11,433.71, 17,150.57 and 7,509.77 is: 11,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.71 : 17,150.57 = 7,509.77 : x
  2. Step 2: Convert to fraction form
    11,433.71/17,150.57 = 7,509.77/x
  3. Step 3: Cross multiply
    11,433.71x = 17,150.57 × 7,509.77
  4. Step 4: Simplify right side
    11,433.71x = 128,796,805.24
  5. Step 5: Solve for x
    x = 128,796,805.24/11,433.71
  6. Step 6: Final answer
    x = 11,264.65

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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.