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Finding the Fourth Proportional to 7,838.33, 11,761.52 and 5,207.67

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Solution

The fourth proportional to 7,838.33, 11,761.52 and 5,207.67 is: 7,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.33 : 11,761.52 = 5,207.67 : x
  2. Step 2: Convert to fraction form
    7,838.33/11,761.52 = 5,207.67/x
  3. Step 3: Cross multiply
    7,838.33x = 11,761.52 × 5,207.67
  4. Step 4: Simplify right side
    7,838.33x = 61,250,088.82
  5. Step 5: Solve for x
    x = 61,250,088.82/7,838.33
  6. Step 6: Final answer
    x = 7,814.18

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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.