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Finding the Fourth Proportional to 7,784.66, 10,742.73 and 4,247.81

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Solution

The fourth proportional to 7,784.66, 10,742.73 and 4,247.81 is: 5,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.66 : 10,742.73 = 4,247.81 : x
  2. Step 2: Convert to fraction form
    7,784.66/10,742.73 = 4,247.81/x
  3. Step 3: Cross multiply
    7,784.66x = 10,742.73 × 4,247.81
  4. Step 4: Simplify right side
    7,784.66x = 45,633,075.92
  5. Step 5: Solve for x
    x = 45,633,075.92/7,784.66
  6. Step 6: Final answer
    x = 5,861.92

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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.