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Finding the Fourth Proportional to 7,838.29, 11,762.02 and 2,911.33

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Solution

The fourth proportional to 7,838.29, 11,762.02 and 2,911.33 is: 4,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.29 : 11,762.02 = 2,911.33 : x
  2. Step 2: Convert to fraction form
    7,838.29/11,762.02 = 2,911.33/x
  3. Step 3: Cross multiply
    7,838.29x = 11,762.02 × 2,911.33
  4. Step 4: Simplify right side
    7,838.29x = 34,243,121.69
  5. Step 5: Solve for x
    x = 34,243,121.69/7,838.29
  6. Step 6: Final answer
    x = 4,368.70

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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.