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Finding the Fourth Proportional to 8,146.98, 11,235.11 and 5,464.26

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Solution

The fourth proportional to 8,146.98, 11,235.11 and 5,464.26 is: 7,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.98 : 11,235.11 = 5,464.26 : x
  2. Step 2: Convert to fraction form
    8,146.98/11,235.11 = 5,464.26/x
  3. Step 3: Cross multiply
    8,146.98x = 11,235.11 × 5,464.26
  4. Step 4: Simplify right side
    8,146.98x = 61,391,534.85
  5. Step 5: Solve for x
    x = 61,391,534.85/8,146.98
  6. Step 6: Final answer
    x = 7,535.50

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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.