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Finding the Fourth Proportional to 8,563.53, 11,819.67 and 5,574.18

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Solution

The fourth proportional to 8,563.53, 11,819.67 and 5,574.18 is: 7,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.53 : 11,819.67 = 5,574.18 : x
  2. Step 2: Convert to fraction form
    8,563.53/11,819.67 = 5,574.18/x
  3. Step 3: Cross multiply
    8,563.53x = 11,819.67 × 5,574.18
  4. Step 4: Simplify right side
    8,563.53x = 65,884,968.12
  5. Step 5: Solve for x
    x = 65,884,968.12/8,563.53
  6. Step 6: Final answer
    x = 7,693.67

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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.