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Finding the Fourth Proportional to 7,000.46, 10,497.05 and 3,301.70

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Solution

The fourth proportional to 7,000.46, 10,497.05 and 3,301.70 is: 4,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.46 : 10,497.05 = 3,301.70 : x
  2. Step 2: Convert to fraction form
    7,000.46/10,497.05 = 3,301.70/x
  3. Step 3: Cross multiply
    7,000.46x = 10,497.05 × 3,301.70
  4. Step 4: Simplify right side
    7,000.46x = 34,658,105.86
  5. Step 5: Solve for x
    x = 34,658,105.86/7,000.46
  6. Step 6: Final answer
    x = 4,950.83

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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.