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Finding the Fourth Proportional to 7,784.30, 10,739.73 and 4,758.34

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Solution

The fourth proportional to 7,784.30, 10,739.73 and 4,758.34 is: 6,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.30 : 10,739.73 = 4,758.34 : x
  2. Step 2: Convert to fraction form
    7,784.30/10,739.73 = 4,758.34/x
  3. Step 3: Cross multiply
    7,784.30x = 10,739.73 × 4,758.34
  4. Step 4: Simplify right side
    7,784.30x = 51,103,286.85
  5. Step 5: Solve for x
    x = 51,103,286.85/7,784.30
  6. Step 6: Final answer
    x = 6,564.92

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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.