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Finding the Fourth Proportional to 7,425.81, 11,182.79 and 6,463.53

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Solution

The fourth proportional to 7,425.81, 11,182.79 and 6,463.53 is: 9,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.81 : 11,182.79 = 6,463.53 : x
  2. Step 2: Convert to fraction form
    7,425.81/11,182.79 = 6,463.53/x
  3. Step 3: Cross multiply
    7,425.81x = 11,182.79 × 6,463.53
  4. Step 4: Simplify right side
    7,425.81x = 72,280,314.81
  5. Step 5: Solve for x
    x = 72,280,314.81/7,425.81
  6. Step 6: Final answer
    x = 9,733.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.