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Finding the Fourth Proportional to 10,776.12, 14,871.39 and 6,527.97

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Solution

The fourth proportional to 10,776.12, 14,871.39 and 6,527.97 is: 9,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.12 : 14,871.39 = 6,527.97 : x
  2. Step 2: Convert to fraction form
    10,776.12/14,871.39 = 6,527.97/x
  3. Step 3: Cross multiply
    10,776.12x = 14,871.39 × 6,527.97
  4. Step 4: Simplify right side
    10,776.12x = 97,079,987.78
  5. Step 5: Solve for x
    x = 97,079,987.78/10,776.12
  6. Step 6: Final answer
    x = 9,008.81

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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.