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Finding the Fourth Proportional to 7,838.27, 11,762.04 and 3,160.52

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Solution

The fourth proportional to 7,838.27, 11,762.04 and 3,160.52 is: 4,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.27 : 11,762.04 = 3,160.52 : x
  2. Step 2: Convert to fraction form
    7,838.27/11,762.04 = 3,160.52/x
  3. Step 3: Cross multiply
    7,838.27x = 11,762.04 × 3,160.52
  4. Step 4: Simplify right side
    7,838.27x = 37,174,162.66
  5. Step 5: Solve for x
    x = 37,174,162.66/7,838.27
  6. Step 6: Final answer
    x = 4,742.65

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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.