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Finding the Fourth Proportional to 11,297.97, 15,592.13 and 6,263.77

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Solution

The fourth proportional to 11,297.97, 15,592.13 and 6,263.77 is: 8,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.97 : 15,592.13 = 6,263.77 : x
  2. Step 2: Convert to fraction form
    11,297.97/15,592.13 = 6,263.77/x
  3. Step 3: Cross multiply
    11,297.97x = 15,592.13 × 6,263.77
  4. Step 4: Simplify right side
    11,297.97x = 97,665,461.49
  5. Step 5: Solve for x
    x = 97,665,461.49/11,297.97
  6. Step 6: Final answer
    x = 8,644.52

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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.