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Finding the Fourth Proportional to 11,284.75, 15,572.97 and 6,316.75

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Solution

The fourth proportional to 11,284.75, 15,572.97 and 6,316.75 is: 8,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.75 : 15,572.97 = 6,316.75 : x
  2. Step 2: Convert to fraction form
    11,284.75/15,572.97 = 6,316.75/x
  3. Step 3: Cross multiply
    11,284.75x = 15,572.97 × 6,316.75
  4. Step 4: Simplify right side
    11,284.75x = 98,370,558.25
  5. Step 5: Solve for x
    x = 98,370,558.25/11,284.75
  6. Step 6: Final answer
    x = 8,717.12

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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.