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Finding the Fourth Proportional to 11,072.92, 15,281.04 and 6,823.12

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Solution

The fourth proportional to 11,072.92, 15,281.04 and 6,823.12 is: 9,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.92 : 15,281.04 = 6,823.12 : x
  2. Step 2: Convert to fraction form
    11,072.92/15,281.04 = 6,823.12/x
  3. Step 3: Cross multiply
    11,072.92x = 15,281.04 × 6,823.12
  4. Step 4: Simplify right side
    11,072.92x = 104,264,369.64
  5. Step 5: Solve for x
    x = 104,264,369.64/11,072.92
  6. Step 6: Final answer
    x = 9,416.16

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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.