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Finding the Fourth Proportional to 6,141.61, 8,466.84 and 5,193.59

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Solution

The fourth proportional to 6,141.61, 8,466.84 and 5,193.59 is: 7,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.61 : 8,466.84 = 5,193.59 : x
  2. Step 2: Convert to fraction form
    6,141.61/8,466.84 = 5,193.59/x
  3. Step 3: Cross multiply
    6,141.61x = 8,466.84 × 5,193.59
  4. Step 4: Simplify right side
    6,141.61x = 43,973,299.10
  5. Step 5: Solve for x
    x = 43,973,299.10/6,141.61
  6. Step 6: Final answer
    x = 7,159.90

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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.