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Finding the Fourth Proportional to 11,507.29, 15,880.63 and 6,473.09

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Solution

The fourth proportional to 11,507.29, 15,880.63 and 6,473.09 is: 8,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.29 : 15,880.63 = 6,473.09 : x
  2. Step 2: Convert to fraction form
    11,507.29/15,880.63 = 6,473.09/x
  3. Step 3: Cross multiply
    11,507.29x = 15,880.63 × 6,473.09
  4. Step 4: Simplify right side
    11,507.29x = 102,796,747.25
  5. Step 5: Solve for x
    x = 102,796,747.25/11,507.29
  6. Step 6: Final answer
    x = 8,933.19

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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.