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Finding the Fourth Proportional to 11,346.73, 15,659.78 and 6,501.92

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Solution

The fourth proportional to 11,346.73, 15,659.78 and 6,501.92 is: 8,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.73 : 15,659.78 = 6,501.92 : x
  2. Step 2: Convert to fraction form
    11,346.73/15,659.78 = 6,501.92/x
  3. Step 3: Cross multiply
    11,346.73x = 15,659.78 × 6,501.92
  4. Step 4: Simplify right side
    11,346.73x = 101,818,650.63
  5. Step 5: Solve for x
    x = 101,818,650.63/11,346.73
  6. Step 6: Final answer
    x = 8,973.39

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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.