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Finding the Fourth Proportional to 11,831.34, 17,747.01 and 4,815.18

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Solution

The fourth proportional to 11,831.34, 17,747.01 and 4,815.18 is: 7,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.34 : 17,747.01 = 4,815.18 : x
  2. Step 2: Convert to fraction form
    11,831.34/17,747.01 = 4,815.18/x
  3. Step 3: Cross multiply
    11,831.34x = 17,747.01 × 4,815.18
  4. Step 4: Simplify right side
    11,831.34x = 85,455,047.61
  5. Step 5: Solve for x
    x = 85,455,047.61/11,831.34
  6. Step 6: Final answer
    x = 7,222.77

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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.