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Finding the Fourth Proportional to 11,602.25, 16,011.12 and 6,297.06

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Solution

The fourth proportional to 11,602.25, 16,011.12 and 6,297.06 is: 8,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.25 : 16,011.12 = 6,297.06 : x
  2. Step 2: Convert to fraction form
    11,602.25/16,011.12 = 6,297.06/x
  3. Step 3: Cross multiply
    11,602.25x = 16,011.12 × 6,297.06
  4. Step 4: Simplify right side
    11,602.25x = 100,822,991.32
  5. Step 5: Solve for x
    x = 100,822,991.32/11,602.25
  6. Step 6: Final answer
    x = 8,689.95

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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.