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Finding the Fourth Proportional to 10,773.96, 14,867.74 and 6,527.53

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Solution

The fourth proportional to 10,773.96, 14,867.74 and 6,527.53 is: 9,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.96 : 14,867.74 = 6,527.53 : x
  2. Step 2: Convert to fraction form
    10,773.96/14,867.74 = 6,527.53/x
  3. Step 3: Cross multiply
    10,773.96x = 14,867.74 × 6,527.53
  4. Step 4: Simplify right side
    10,773.96x = 97,049,618.88
  5. Step 5: Solve for x
    x = 97,049,618.88/10,773.96
  6. Step 6: Final answer
    x = 9,007.79

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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.