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Finding the Fourth Proportional to 7,639.70, 10,523.06 and 5,397.68

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Solution

The fourth proportional to 7,639.70, 10,523.06 and 5,397.68 is: 7,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.70 : 10,523.06 = 5,397.68 : x
  2. Step 2: Convert to fraction form
    7,639.70/10,523.06 = 5,397.68/x
  3. Step 3: Cross multiply
    7,639.70x = 10,523.06 × 5,397.68
  4. Step 4: Simplify right side
    7,639.70x = 56,800,110.50
  5. Step 5: Solve for x
    x = 56,800,110.50/7,639.70
  6. Step 6: Final answer
    x = 7,434.86

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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.