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Finding the Fourth Proportional to 11,864.06, 16,373.71 and 7,560.22

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Solution

The fourth proportional to 11,864.06, 16,373.71 and 7,560.22 is: 10,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.06 : 16,373.71 = 7,560.22 : x
  2. Step 2: Convert to fraction form
    11,864.06/16,373.71 = 7,560.22/x
  3. Step 3: Cross multiply
    11,864.06x = 16,373.71 × 7,560.22
  4. Step 4: Simplify right side
    11,864.06x = 123,788,849.82
  5. Step 5: Solve for x
    x = 123,788,849.82/11,864.06
  6. Step 6: Final answer
    x = 10,433.94

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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.