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Finding the Fourth Proportional to 11,364.76, 15,683.36 and 6,649.96

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Solution

The fourth proportional to 11,364.76, 15,683.36 and 6,649.96 is: 9,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.76 : 15,683.36 = 6,649.96 : x
  2. Step 2: Convert to fraction form
    11,364.76/15,683.36 = 6,649.96/x
  3. Step 3: Cross multiply
    11,364.76x = 15,683.36 × 6,649.96
  4. Step 4: Simplify right side
    11,364.76x = 104,293,716.67
  5. Step 5: Solve for x
    x = 104,293,716.67/11,364.76
  6. Step 6: Final answer
    x = 9,176.94

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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.