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Finding the Fourth Proportional to 7,824.61, 10,797.64 and 4,682.53

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Solution

The fourth proportional to 7,824.61, 10,797.64 and 4,682.53 is: 6,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.61 : 10,797.64 = 4,682.53 : x
  2. Step 2: Convert to fraction form
    7,824.61/10,797.64 = 4,682.53/x
  3. Step 3: Cross multiply
    7,824.61x = 10,797.64 × 4,682.53
  4. Step 4: Simplify right side
    7,824.61x = 50,560,273.23
  5. Step 5: Solve for x
    x = 50,560,273.23/7,824.61
  6. Step 6: Final answer
    x = 6,461.70

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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.