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Finding the Fourth Proportional to 7,682.94, 10,603.26 and 4,700.76

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Solution

The fourth proportional to 7,682.94, 10,603.26 and 4,700.76 is: 6,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.94 : 10,603.26 = 4,700.76 : x
  2. Step 2: Convert to fraction form
    7,682.94/10,603.26 = 4,700.76/x
  3. Step 3: Cross multiply
    7,682.94x = 10,603.26 × 4,700.76
  4. Step 4: Simplify right side
    7,682.94x = 49,843,380.48
  5. Step 5: Solve for x
    x = 49,843,380.48/7,682.94
  6. Step 6: Final answer
    x = 6,487.54

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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.