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Finding the Fourth Proportional to 10,831.84, 14,949 and 6,581.97

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Solution

The fourth proportional to 10,831.84, 14,949 and 6,581.97 is: 9,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.84 : 14,949 = 6,581.97 : x
  2. Step 2: Convert to fraction form
    10,831.84/14,949 = 6,581.97/x
  3. Step 3: Cross multiply
    10,831.84x = 14,949 × 6,581.97
  4. Step 4: Simplify right side
    10,831.84x = 98,393,869.53
  5. Step 5: Solve for x
    x = 98,393,869.53/10,831.84
  6. Step 6: Final answer
    x = 9,083.77

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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.