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Finding the Fourth Proportional to 27,902.02, 41,853.11 and 6,842.16

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Solution

The fourth proportional to 27,902.02, 41,853.11 and 6,842.16 is: 10,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.02 : 41,853.11 = 6,842.16 : x
  2. Step 2: Convert to fraction form
    27,902.02/41,853.11 = 6,842.16/x
  3. Step 3: Cross multiply
    27,902.02x = 41,853.11 × 6,842.16
  4. Step 4: Simplify right side
    27,902.02x = 286,365,431.64
  5. Step 5: Solve for x
    x = 286,365,431.64/27,902.02
  6. Step 6: Final answer
    x = 10,263.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.