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Finding the Fourth Proportional to 10,759.24, 14,847.78 and 6,044.68

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Solution

The fourth proportional to 10,759.24, 14,847.78 and 6,044.68 is: 8,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.24 : 14,847.78 = 6,044.68 : x
  2. Step 2: Convert to fraction form
    10,759.24/14,847.78 = 6,044.68/x
  3. Step 3: Cross multiply
    10,759.24x = 14,847.78 × 6,044.68
  4. Step 4: Simplify right side
    10,759.24x = 89,750,078.81
  5. Step 5: Solve for x
    x = 89,750,078.81/10,759.24
  6. Step 6: Final answer
    x = 8,341.67

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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.