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Finding the Fourth Proportional to 11,346.69, 15,656.96 and 6,309.91

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Solution

The fourth proportional to 11,346.69, 15,656.96 and 6,309.91 is: 8,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.69 : 15,656.96 = 6,309.91 : x
  2. Step 2: Convert to fraction form
    11,346.69/15,656.96 = 6,309.91/x
  3. Step 3: Cross multiply
    11,346.69x = 15,656.96 × 6,309.91
  4. Step 4: Simplify right side
    11,346.69x = 98,794,043.82
  5. Step 5: Solve for x
    x = 98,794,043.82/11,346.69
  6. Step 6: Final answer
    x = 8,706.86

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