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Finding the Fourth Proportional to 7,831.17, 11,745.15 and 3,670.07

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Solution

The fourth proportional to 7,831.17, 11,745.15 and 3,670.07 is: 5,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.17 : 11,745.15 = 3,670.07 : x
  2. Step 2: Convert to fraction form
    7,831.17/11,745.15 = 3,670.07/x
  3. Step 3: Cross multiply
    7,831.17x = 11,745.15 × 3,670.07
  4. Step 4: Simplify right side
    7,831.17x = 43,105,463.93
  5. Step 5: Solve for x
    x = 43,105,463.93/7,831.17
  6. Step 6: Final answer
    x = 5,504.35

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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.