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Finding the Fourth Proportional to 6,077.13, 8,386.34 and 3,842.88

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Solution

The fourth proportional to 6,077.13, 8,386.34 and 3,842.88 is: 5,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.13 : 8,386.34 = 3,842.88 : x
  2. Step 2: Convert to fraction form
    6,077.13/8,386.34 = 3,842.88/x
  3. Step 3: Cross multiply
    6,077.13x = 8,386.34 × 3,842.88
  4. Step 4: Simplify right side
    6,077.13x = 32,227,679.04
  5. Step 5: Solve for x
    x = 32,227,679.04/6,077.13
  6. Step 6: Final answer
    x = 5,303.11

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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.