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Finding the Fourth Proportional to 10,208.53, 14,090.22 and 6,233.02

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Solution

The fourth proportional to 10,208.53, 14,090.22 and 6,233.02 is: 8,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.53 : 14,090.22 = 6,233.02 : x
  2. Step 2: Convert to fraction form
    10,208.53/14,090.22 = 6,233.02/x
  3. Step 3: Cross multiply
    10,208.53x = 14,090.22 × 6,233.02
  4. Step 4: Simplify right side
    10,208.53x = 87,824,587.84
  5. Step 5: Solve for x
    x = 87,824,587.84/10,208.53
  6. Step 6: Final answer
    x = 8,603.06

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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.