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Finding the Fourth Proportional to 11,315.64, 16,950.75 and 5,768.76

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Solution

The fourth proportional to 11,315.64, 16,950.75 and 5,768.76 is: 8,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.64 : 16,950.75 = 5,768.76 : x
  2. Step 2: Convert to fraction form
    11,315.64/16,950.75 = 5,768.76/x
  3. Step 3: Cross multiply
    11,315.64x = 16,950.75 × 5,768.76
  4. Step 4: Simplify right side
    11,315.64x = 97,784,808.57
  5. Step 5: Solve for x
    x = 97,784,808.57/11,315.64
  6. Step 6: Final answer
    x = 8,641.56

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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.