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Finding the Fourth Proportional to 11,647.71, 16,066.59 and 7,108.32

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Solution

The fourth proportional to 11,647.71, 16,066.59 and 7,108.32 is: 9,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.71 : 16,066.59 = 7,108.32 : x
  2. Step 2: Convert to fraction form
    11,647.71/16,066.59 = 7,108.32/x
  3. Step 3: Cross multiply
    11,647.71x = 16,066.59 × 7,108.32
  4. Step 4: Simplify right side
    11,647.71x = 114,206,463.03
  5. Step 5: Solve for x
    x = 114,206,463.03/11,647.71
  6. Step 6: Final answer
    x = 9,805.06

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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.