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Finding the Fourth Proportional to 8,077.66, 11,146.95 and 4,541.10

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Solution

The fourth proportional to 8,077.66, 11,146.95 and 4,541.10 is: 6,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.66 : 11,146.95 = 4,541.10 : x
  2. Step 2: Convert to fraction form
    8,077.66/11,146.95 = 4,541.10/x
  3. Step 3: Cross multiply
    8,077.66x = 11,146.95 × 4,541.10
  4. Step 4: Simplify right side
    8,077.66x = 50,619,372.84
  5. Step 5: Solve for x
    x = 50,619,372.84/8,077.66
  6. Step 6: Final answer
    x = 6,266.59

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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.