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Finding the Fourth Proportional to 11,776.84, 16,252.08 and 7,061.12

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Solution

The fourth proportional to 11,776.84, 16,252.08 and 7,061.12 is: 9,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.84 : 16,252.08 = 7,061.12 : x
  2. Step 2: Convert to fraction form
    11,776.84/16,252.08 = 7,061.12/x
  3. Step 3: Cross multiply
    11,776.84x = 16,252.08 × 7,061.12
  4. Step 4: Simplify right side
    11,776.84x = 114,757,887.13
  5. Step 5: Solve for x
    x = 114,757,887.13/11,776.84
  6. Step 6: Final answer
    x = 9,744.37

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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.