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Finding the Fourth Proportional to 7,494.64, 10,342.59 and 4,137.46

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Solution

The fourth proportional to 7,494.64, 10,342.59 and 4,137.46 is: 5,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.64 : 10,342.59 = 4,137.46 : x
  2. Step 2: Convert to fraction form
    7,494.64/10,342.59 = 4,137.46/x
  3. Step 3: Cross multiply
    7,494.64x = 10,342.59 × 4,137.46
  4. Step 4: Simplify right side
    7,494.64x = 42,792,052.42
  5. Step 5: Solve for x
    x = 42,792,052.42/7,494.64
  6. Step 6: Final answer
    x = 5,709.69

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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.