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Finding the Fourth Proportional to 11,713.76, 17,555.16 and 7,018.64

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Solution

The fourth proportional to 11,713.76, 17,555.16 and 7,018.64 is: 10,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.76 : 17,555.16 = 7,018.64 : x
  2. Step 2: Convert to fraction form
    11,713.76/17,555.16 = 7,018.64/x
  3. Step 3: Cross multiply
    11,713.76x = 17,555.16 × 7,018.64
  4. Step 4: Simplify right side
    11,713.76x = 123,213,348.18
  5. Step 5: Solve for x
    x = 123,213,348.18/11,713.76
  6. Step 6: Final answer
    x = 10,518.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.