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Finding the Fourth Proportional to 11,569.37, 15,965.73 and 6,264.18

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Solution

The fourth proportional to 11,569.37, 15,965.73 and 6,264.18 is: 8,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.37 : 15,965.73 = 6,264.18 : x
  2. Step 2: Convert to fraction form
    11,569.37/15,965.73 = 6,264.18/x
  3. Step 3: Cross multiply
    11,569.37x = 15,965.73 × 6,264.18
  4. Step 4: Simplify right side
    11,569.37x = 100,012,206.55
  5. Step 5: Solve for x
    x = 100,012,206.55/11,569.37
  6. Step 6: Final answer
    x = 8,644.57

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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.