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Finding the Fourth Proportional to 11,549.44, 15,922.74 and 7,569.10

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Solution

The fourth proportional to 11,549.44, 15,922.74 and 7,569.10 is: 10,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.44 : 15,922.74 = 7,569.10 : x
  2. Step 2: Convert to fraction form
    11,549.44/15,922.74 = 7,569.10/x
  3. Step 3: Cross multiply
    11,549.44x = 15,922.74 × 7,569.10
  4. Step 4: Simplify right side
    11,549.44x = 120,520,811.33
  5. Step 5: Solve for x
    x = 120,520,811.33/11,549.44
  6. Step 6: Final answer
    x = 10,435.21

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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.