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Finding the Fourth Proportional to 7,717.46, 11,574.18 and 3,037.46

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Solution

The fourth proportional to 7,717.46, 11,574.18 and 3,037.46 is: 4,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.46 : 11,574.18 = 3,037.46 : x
  2. Step 2: Convert to fraction form
    7,717.46/11,574.18 = 3,037.46/x
  3. Step 3: Cross multiply
    7,717.46x = 11,574.18 × 3,037.46
  4. Step 4: Simplify right side
    7,717.46x = 35,156,050.91
  5. Step 5: Solve for x
    x = 35,156,050.91/7,717.46
  6. Step 6: Final answer
    x = 4,555.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.