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Finding the Fourth Proportional to 10,081.16, 13,908.54 and 5,831.08

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Solution

The fourth proportional to 10,081.16, 13,908.54 and 5,831.08 is: 8,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.16 : 13,908.54 = 5,831.08 : x
  2. Step 2: Convert to fraction form
    10,081.16/13,908.54 = 5,831.08/x
  3. Step 3: Cross multiply
    10,081.16x = 13,908.54 × 5,831.08
  4. Step 4: Simplify right side
    10,081.16x = 81,101,809.42
  5. Step 5: Solve for x
    x = 81,101,809.42/10,081.16
  6. Step 6: Final answer
    x = 8,044.89

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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.