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Finding the Fourth Proportional to 11,346.98, 15,658.83 and 6,311.06

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Solution

The fourth proportional to 11,346.98, 15,658.83 and 6,311.06 is: 8,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.98 : 15,658.83 = 6,311.06 : x
  2. Step 2: Convert to fraction form
    11,346.98/15,658.83 = 6,311.06/x
  3. Step 3: Cross multiply
    11,346.98x = 15,658.83 × 6,311.06
  4. Step 4: Simplify right side
    11,346.98x = 98,823,815.66
  5. Step 5: Solve for x
    x = 98,823,815.66/11,346.98
  6. Step 6: Final answer
    x = 8,709.26

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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.