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Finding the Fourth Proportional to 7,357.84, 10,153.86 and 4,000.69

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Solution

The fourth proportional to 7,357.84, 10,153.86 and 4,000.69 is: 5,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.84 : 10,153.86 = 4,000.69 : x
  2. Step 2: Convert to fraction form
    7,357.84/10,153.86 = 4,000.69/x
  3. Step 3: Cross multiply
    7,357.84x = 10,153.86 × 4,000.69
  4. Step 4: Simplify right side
    7,357.84x = 40,622,446.16
  5. Step 5: Solve for x
    x = 40,622,446.16/7,357.84
  6. Step 6: Final answer
    x = 5,520.97

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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.