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Finding the Fourth Proportional to 8,035.01, 11,089.60 and 6,142.95

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Solution

The fourth proportional to 8,035.01, 11,089.60 and 6,142.95 is: 8,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.01 : 11,089.60 = 6,142.95 : x
  2. Step 2: Convert to fraction form
    8,035.01/11,089.60 = 6,142.95/x
  3. Step 3: Cross multiply
    8,035.01x = 11,089.60 × 6,142.95
  4. Step 4: Simplify right side
    8,035.01x = 68,122,858.32
  5. Step 5: Solve for x
    x = 68,122,858.32/8,035.01
  6. Step 6: Final answer
    x = 8,478.25

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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.