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Finding the Fourth Proportional to 6,102.33, 8,420.11 and 5,262.15

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Solution

The fourth proportional to 6,102.33, 8,420.11 and 5,262.15 is: 7,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.33 : 8,420.11 = 5,262.15 : x
  2. Step 2: Convert to fraction form
    6,102.33/8,420.11 = 5,262.15/x
  3. Step 3: Cross multiply
    6,102.33x = 8,420.11 × 5,262.15
  4. Step 4: Simplify right side
    6,102.33x = 44,307,881.84
  5. Step 5: Solve for x
    x = 44,307,881.84/6,102.33
  6. Step 6: Final answer
    x = 7,260.81

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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.