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Finding the Fourth Proportional to 11,364.77, 15,683.34 and 6,329.05

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Solution

The fourth proportional to 11,364.77, 15,683.34 and 6,329.05 is: 8,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.77 : 15,683.34 = 6,329.05 : x
  2. Step 2: Convert to fraction form
    11,364.77/15,683.34 = 6,329.05/x
  3. Step 3: Cross multiply
    11,364.77x = 15,683.34 × 6,329.05
  4. Step 4: Simplify right side
    11,364.77x = 99,260,715.77
  5. Step 5: Solve for x
    x = 99,260,715.77/11,364.77
  6. Step 6: Final answer
    x = 8,734.07

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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.