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Finding the Fourth Proportional to 11,513.62, 15,889.71 and 6,477.54

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Solution

The fourth proportional to 11,513.62, 15,889.71 and 6,477.54 is: 8,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.62 : 15,889.71 = 6,477.54 : x
  2. Step 2: Convert to fraction form
    11,513.62/15,889.71 = 6,477.54/x
  3. Step 3: Cross multiply
    11,513.62x = 15,889.71 × 6,477.54
  4. Step 4: Simplify right side
    11,513.62x = 102,926,232.11
  5. Step 5: Solve for x
    x = 102,926,232.11/11,513.62
  6. Step 6: Final answer
    x = 8,939.52

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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.