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Finding the Fourth Proportional to 11,257.64, 16,885.83 and 5,710.83

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Solution

The fourth proportional to 11,257.64, 16,885.83 and 5,710.83 is: 8,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.64 : 16,885.83 = 5,710.83 : x
  2. Step 2: Convert to fraction form
    11,257.64/16,885.83 = 5,710.83/x
  3. Step 3: Cross multiply
    11,257.64x = 16,885.83 × 5,710.83
  4. Step 4: Simplify right side
    11,257.64x = 96,432,104.54
  5. Step 5: Solve for x
    x = 96,432,104.54/11,257.64
  6. Step 6: Final answer
    x = 8,565.93

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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.