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Finding the Fourth Proportional to 10,707.86, 14,776.53 and 5,928.14

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Solution

The fourth proportional to 10,707.86, 14,776.53 and 5,928.14 is: 8,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.86 : 14,776.53 = 5,928.14 : x
  2. Step 2: Convert to fraction form
    10,707.86/14,776.53 = 5,928.14/x
  3. Step 3: Cross multiply
    10,707.86x = 14,776.53 × 5,928.14
  4. Step 4: Simplify right side
    10,707.86x = 87,597,338.55
  5. Step 5: Solve for x
    x = 87,597,338.55/10,707.86
  6. Step 6: Final answer
    x = 8,180.66

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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.