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Finding the Fourth Proportional to 7,784.66, 10,742.72 and 4,247.80

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Solution

The fourth proportional to 7,784.66, 10,742.72 and 4,247.80 is: 5,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.66 : 10,742.72 = 4,247.80 : x
  2. Step 2: Convert to fraction form
    7,784.66/10,742.72 = 4,247.80/x
  3. Step 3: Cross multiply
    7,784.66x = 10,742.72 × 4,247.80
  4. Step 4: Simplify right side
    7,784.66x = 45,632,926.02
  5. Step 5: Solve for x
    x = 45,632,926.02/7,784.66
  6. Step 6: Final answer
    x = 5,861.90

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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.