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Finding the Fourth Proportional to 11,513.06, 15,887.86 and 6,477.28

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Solution

The fourth proportional to 11,513.06, 15,887.86 and 6,477.28 is: 8,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.06 : 15,887.86 = 6,477.28 : x
  2. Step 2: Convert to fraction form
    11,513.06/15,887.86 = 6,477.28/x
  3. Step 3: Cross multiply
    11,513.06x = 15,887.86 × 6,477.28
  4. Step 4: Simplify right side
    11,513.06x = 102,910,061.91
  5. Step 5: Solve for x
    x = 102,910,061.91/11,513.06
  6. Step 6: Final answer
    x = 8,938.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.