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Finding the Fourth Proportional to 11,433.29, 15,772.93 and 6,715.44

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Solution

The fourth proportional to 11,433.29, 15,772.93 and 6,715.44 is: 9,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.29 : 15,772.93 = 6,715.44 : x
  2. Step 2: Convert to fraction form
    11,433.29/15,772.93 = 6,715.44/x
  3. Step 3: Cross multiply
    11,433.29x = 15,772.93 × 6,715.44
  4. Step 4: Simplify right side
    11,433.29x = 105,922,148.25
  5. Step 5: Solve for x
    x = 105,922,148.25/11,433.29
  6. Step 6: Final answer
    x = 9,264.37

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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.