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Finding the Fourth Proportional to 27,557.10, 41,323.35 and 7,831.07

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Solution

The fourth proportional to 27,557.10, 41,323.35 and 7,831.07 is: 11,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,557.10 : 41,323.35 = 7,831.07 : x
  2. Step 2: Convert to fraction form
    27,557.10/41,323.35 = 7,831.07/x
  3. Step 3: Cross multiply
    27,557.10x = 41,323.35 × 7,831.07
  4. Step 4: Simplify right side
    27,557.10x = 323,606,046.48
  5. Step 5: Solve for x
    x = 323,606,046.48/27,557.10
  6. Step 6: Final answer
    x = 11,743.11

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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.