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Finding the Fourth Proportional to 7,505.57, 10,349.90 and 6,446.83

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Solution

The fourth proportional to 7,505.57, 10,349.90 and 6,446.83 is: 8,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.57 : 10,349.90 = 6,446.83 : x
  2. Step 2: Convert to fraction form
    7,505.57/10,349.90 = 6,446.83/x
  3. Step 3: Cross multiply
    7,505.57x = 10,349.90 × 6,446.83
  4. Step 4: Simplify right side
    7,505.57x = 66,724,045.82
  5. Step 5: Solve for x
    x = 66,724,045.82/7,505.57
  6. Step 6: Final answer
    x = 8,889.94

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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.