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Finding the Fourth Proportional to 11,549.16, 15,943.14 and 7,570.44

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Solution

The fourth proportional to 11,549.16, 15,943.14 and 7,570.44 is: 10,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.16 : 15,943.14 = 7,570.44 : x
  2. Step 2: Convert to fraction form
    11,549.16/15,943.14 = 7,570.44/x
  3. Step 3: Cross multiply
    11,549.16x = 15,943.14 × 7,570.44
  4. Step 4: Simplify right side
    11,549.16x = 120,696,584.78
  5. Step 5: Solve for x
    x = 120,696,584.78/11,549.16
  6. Step 6: Final answer
    x = 10,450.68

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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.