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Finding the Fourth Proportional to 11,831.76, 16,328.22 and 6,526.78

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Solution

The fourth proportional to 11,831.76, 16,328.22 and 6,526.78 is: 9,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.76 : 16,328.22 = 6,526.78 : x
  2. Step 2: Convert to fraction form
    11,831.76/16,328.22 = 6,526.78/x
  3. Step 3: Cross multiply
    11,831.76x = 16,328.22 × 6,526.78
  4. Step 4: Simplify right side
    11,831.76x = 106,570,699.73
  5. Step 5: Solve for x
    x = 106,570,699.73/11,831.76
  6. Step 6: Final answer
    x = 9,007.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.