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Finding the Fourth Proportional to 10,727.76, 14,805 and 6,011.64

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Solution

The fourth proportional to 10,727.76, 14,805 and 6,011.64 is: 8,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.76 : 14,805 = 6,011.64 : x
  2. Step 2: Convert to fraction form
    10,727.76/14,805 = 6,011.64/x
  3. Step 3: Cross multiply
    10,727.76x = 14,805 × 6,011.64
  4. Step 4: Simplify right side
    10,727.76x = 89,002,330.20
  5. Step 5: Solve for x
    x = 89,002,330.20/10,727.76
  6. Step 6: Final answer
    x = 8,296.45

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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.