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Finding the Fourth Proportional to 11,710.40, 17,565.83 and 4,311.05

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Solution

The fourth proportional to 11,710.40, 17,565.83 and 4,311.05 is: 6,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.40 : 17,565.83 = 4,311.05 : x
  2. Step 2: Convert to fraction form
    11,710.40/17,565.83 = 4,311.05/x
  3. Step 3: Cross multiply
    11,710.40x = 17,565.83 × 4,311.05
  4. Step 4: Simplify right side
    11,710.40x = 75,727,187.99
  5. Step 5: Solve for x
    x = 75,727,187.99/11,710.40
  6. Step 6: Final answer
    x = 6,466.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.