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Finding the Fourth Proportional to 11,072.16, 15,281.04 and 7,712.80

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Solution

The fourth proportional to 11,072.16, 15,281.04 and 7,712.80 is: 10,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.16 : 15,281.04 = 7,712.80 : x
  2. Step 2: Convert to fraction form
    11,072.16/15,281.04 = 7,712.80/x
  3. Step 3: Cross multiply
    11,072.16x = 15,281.04 × 7,712.80
  4. Step 4: Simplify right side
    11,072.16x = 117,859,605.31
  5. Step 5: Solve for x
    x = 117,859,605.31/11,072.16
  6. Step 6: Final answer
    x = 10,644.68

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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.