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Finding the Fourth Proportional to 11,262.78, 15,536.76 and 7,013.16

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Solution

The fourth proportional to 11,262.78, 15,536.76 and 7,013.16 is: 9,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.78 : 15,536.76 = 7,013.16 : x
  2. Step 2: Convert to fraction form
    11,262.78/15,536.76 = 7,013.16/x
  3. Step 3: Cross multiply
    11,262.78x = 15,536.76 × 7,013.16
  4. Step 4: Simplify right side
    11,262.78x = 108,961,815.73
  5. Step 5: Solve for x
    x = 108,961,815.73/11,262.78
  6. Step 6: Final answer
    x = 9,674.50

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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.