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Finding the Fourth Proportional to 7,814.92, 10,784.60 and 4,278.14

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Solution

The fourth proportional to 7,814.92, 10,784.60 and 4,278.14 is: 5,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.92 : 10,784.60 = 4,278.14 : x
  2. Step 2: Convert to fraction form
    7,814.92/10,784.60 = 4,278.14/x
  3. Step 3: Cross multiply
    7,814.92x = 10,784.60 × 4,278.14
  4. Step 4: Simplify right side
    7,814.92x = 46,138,028.64
  5. Step 5: Solve for x
    x = 46,138,028.64/7,814.92
  6. Step 6: Final answer
    x = 5,903.84

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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.