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Finding the Fourth Proportional to 11,297.54, 15,597.90 and 7,266.17

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Solution

The fourth proportional to 11,297.54, 15,597.90 and 7,266.17 is: 10,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.54 : 15,597.90 = 7,266.17 : x
  2. Step 2: Convert to fraction form
    11,297.54/15,597.90 = 7,266.17/x
  3. Step 3: Cross multiply
    11,297.54x = 15,597.90 × 7,266.17
  4. Step 4: Simplify right side
    11,297.54x = 113,336,915.05
  5. Step 5: Solve for x
    x = 113,336,915.05/11,297.54
  6. Step 6: Final answer
    x = 10,032.00

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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.