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Finding the Fourth Proportional to 10,844.88, 14,965.32 and 7,864.48

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Solution

The fourth proportional to 10,844.88, 14,965.32 and 7,864.48 is: 10,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.88 : 14,965.32 = 7,864.48 : x
  2. Step 2: Convert to fraction form
    10,844.88/14,965.32 = 7,864.48/x
  3. Step 3: Cross multiply
    10,844.88x = 14,965.32 × 7,864.48
  4. Step 4: Simplify right side
    10,844.88x = 117,694,459.83
  5. Step 5: Solve for x
    x = 117,694,459.83/10,844.88
  6. Step 6: Final answer
    x = 10,852.54

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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.