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Finding the Fourth Proportional to 11,365.31, 15,684.23 and 6,649.70

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Solution

The fourth proportional to 11,365.31, 15,684.23 and 6,649.70 is: 9,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.31 : 15,684.23 = 6,649.70 : x
  2. Step 2: Convert to fraction form
    11,365.31/15,684.23 = 6,649.70/x
  3. Step 3: Cross multiply
    11,365.31x = 15,684.23 × 6,649.70
  4. Step 4: Simplify right side
    11,365.31x = 104,295,362.43
  5. Step 5: Solve for x
    x = 104,295,362.43/11,365.31
  6. Step 6: Final answer
    x = 9,176.64

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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.