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Finding the Fourth Proportional to 11,602.24, 16,010.93 and 6,297.01

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Solution

The fourth proportional to 11,602.24, 16,010.93 and 6,297.01 is: 8,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.24 : 16,010.93 = 6,297.01 : x
  2. Step 2: Convert to fraction form
    11,602.24/16,010.93 = 6,297.01/x
  3. Step 3: Cross multiply
    11,602.24x = 16,010.93 × 6,297.01
  4. Step 4: Simplify right side
    11,602.24x = 100,820,962.03
  5. Step 5: Solve for x
    x = 100,820,962.03/11,602.24
  6. Step 6: Final answer
    x = 8,689.79

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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.