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Finding the Fourth Proportional to 11,513.82, 15,887.94 and 6,477.93

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Solution

The fourth proportional to 11,513.82, 15,887.94 and 6,477.93 is: 8,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.82 : 15,887.94 = 6,477.93 : x
  2. Step 2: Convert to fraction form
    11,513.82/15,887.94 = 6,477.93/x
  3. Step 3: Cross multiply
    11,513.82x = 15,887.94 × 6,477.93
  4. Step 4: Simplify right side
    11,513.82x = 102,920,963.16
  5. Step 5: Solve for x
    x = 102,920,963.16/11,513.82
  6. Step 6: Final answer
    x = 8,938.91

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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.