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Finding the Fourth Proportional to 8,831.12, 13,243.76 and 3,564.77

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Solution

The fourth proportional to 8,831.12, 13,243.76 and 3,564.77 is: 5,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.12 : 13,243.76 = 3,564.77 : x
  2. Step 2: Convert to fraction form
    8,831.12/13,243.76 = 3,564.77/x
  3. Step 3: Cross multiply
    8,831.12x = 13,243.76 × 3,564.77
  4. Step 4: Simplify right side
    8,831.12x = 47,210,940.51
  5. Step 5: Solve for x
    x = 47,210,940.51/8,831.12
  6. Step 6: Final answer
    x = 5,345.97

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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.