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Finding the Fourth Proportional to 7,682.25, 10,598.59 and 4,494.53

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Solution

The fourth proportional to 7,682.25, 10,598.59 and 4,494.53 is: 6,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.25 : 10,598.59 = 4,494.53 : x
  2. Step 2: Convert to fraction form
    7,682.25/10,598.59 = 4,494.53/x
  3. Step 3: Cross multiply
    7,682.25x = 10,598.59 × 4,494.53
  4. Step 4: Simplify right side
    7,682.25x = 47,635,680.71
  5. Step 5: Solve for x
    x = 47,635,680.71/7,682.25
  6. Step 6: Final answer
    x = 6,200.75

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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.