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Finding the Fourth Proportional to 11,223.87, 15,488.67 and 6,507.84

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Solution

The fourth proportional to 11,223.87, 15,488.67 and 6,507.84 is: 8,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.87 : 15,488.67 = 6,507.84 : x
  2. Step 2: Convert to fraction form
    11,223.87/15,488.67 = 6,507.84/x
  3. Step 3: Cross multiply
    11,223.87x = 15,488.67 × 6,507.84
  4. Step 4: Simplify right side
    11,223.87x = 100,797,832.05
  5. Step 5: Solve for x
    x = 100,797,832.05/11,223.87
  6. Step 6: Final answer
    x = 8,980.67

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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.