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Finding the Fourth Proportional to 11,212.36, 15,475.80 and 6,499.36

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Solution

The fourth proportional to 11,212.36, 15,475.80 and 6,499.36 is: 8,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.36 : 15,475.80 = 6,499.36 : x
  2. Step 2: Convert to fraction form
    11,212.36/15,475.80 = 6,499.36/x
  3. Step 3: Cross multiply
    11,212.36x = 15,475.80 × 6,499.36
  4. Step 4: Simplify right side
    11,212.36x = 100,582,795.49
  5. Step 5: Solve for x
    x = 100,582,795.49/11,212.36
  6. Step 6: Final answer
    x = 8,970.71

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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.