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Finding the Fourth Proportional to 10,805.77, 14,908.54 and 8,529.92

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Solution

The fourth proportional to 10,805.77, 14,908.54 and 8,529.92 is: 11,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.77 : 14,908.54 = 8,529.92 : x
  2. Step 2: Convert to fraction form
    10,805.77/14,908.54 = 8,529.92/x
  3. Step 3: Cross multiply
    10,805.77x = 14,908.54 × 8,529.92
  4. Step 4: Simplify right side
    10,805.77x = 127,168,713.41
  5. Step 5: Solve for x
    x = 127,168,713.41/10,805.77
  6. Step 6: Final answer
    x = 11,768.59

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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.