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Finding the Fourth Proportional to 11,513.09, 15,887.41 and 6,477.52

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Solution

The fourth proportional to 11,513.09, 15,887.41 and 6,477.52 is: 8,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.09 : 15,887.41 = 6,477.52 : x
  2. Step 2: Convert to fraction form
    11,513.09/15,887.41 = 6,477.52/x
  3. Step 3: Cross multiply
    11,513.09x = 15,887.41 × 6,477.52
  4. Step 4: Simplify right side
    11,513.09x = 102,911,071.94
  5. Step 5: Solve for x
    x = 102,911,071.94/11,513.09
  6. Step 6: Final answer
    x = 8,938.61

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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.