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Finding the Fourth Proportional to 7,037.76, 9,704.16 and 5,263.68

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Solution

The fourth proportional to 7,037.76, 9,704.16 and 5,263.68 is: 7,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.76 : 9,704.16 = 5,263.68 : x
  2. Step 2: Convert to fraction form
    7,037.76/9,704.16 = 5,263.68/x
  3. Step 3: Cross multiply
    7,037.76x = 9,704.16 × 5,263.68
  4. Step 4: Simplify right side
    7,037.76x = 51,079,592.91
  5. Step 5: Solve for x
    x = 51,079,592.91/7,037.76
  6. Step 6: Final answer
    x = 7,257.93

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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.