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Finding the Fourth Proportional to 11,329.21, 15,634.74 and 6,293.08

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Solution

The fourth proportional to 11,329.21, 15,634.74 and 6,293.08 is: 8,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.21 : 15,634.74 = 6,293.08 : x
  2. Step 2: Convert to fraction form
    11,329.21/15,634.74 = 6,293.08/x
  3. Step 3: Cross multiply
    11,329.21x = 15,634.74 × 6,293.08
  4. Step 4: Simplify right side
    11,329.21x = 98,390,669.60
  5. Step 5: Solve for x
    x = 98,390,669.60/11,329.21
  6. Step 6: Final answer
    x = 8,684.69

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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.