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Finding the Fourth Proportional to 11,306.79, 15,605.19 and 6,831.14

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Solution

The fourth proportional to 11,306.79, 15,605.19 and 6,831.14 is: 9,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.79 : 15,605.19 = 6,831.14 : x
  2. Step 2: Convert to fraction form
    11,306.79/15,605.19 = 6,831.14/x
  3. Step 3: Cross multiply
    11,306.79x = 15,605.19 × 6,831.14
  4. Step 4: Simplify right side
    11,306.79x = 106,601,159.59
  5. Step 5: Solve for x
    x = 106,601,159.59/11,306.79
  6. Step 6: Final answer
    x = 9,428.07

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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.