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Finding the Fourth Proportional to 11,334.52, 15,636.54 and 6,616

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Solution

The fourth proportional to 11,334.52, 15,636.54 and 6,616 is: 9,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.52 : 15,636.54 = 6,616 : x
  2. Step 2: Convert to fraction form
    11,334.52/15,636.54 = 6,616/x
  3. Step 3: Cross multiply
    11,334.52x = 15,636.54 × 6,616
  4. Step 4: Simplify right side
    11,334.52x = 103,451,348.64
  5. Step 5: Solve for x
    x = 103,451,348.64/11,334.52
  6. Step 6: Final answer
    x = 9,127.10

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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.