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Finding the Fourth Proportional to 10,831.15, 16,261.76 and 7,156.99

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Solution

The fourth proportional to 10,831.15, 16,261.76 and 7,156.99 is: 10,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.15 : 16,261.76 = 7,156.99 : x
  2. Step 2: Convert to fraction form
    10,831.15/16,261.76 = 7,156.99/x
  3. Step 3: Cross multiply
    10,831.15x = 16,261.76 × 7,156.99
  4. Step 4: Simplify right side
    10,831.15x = 116,385,291.92
  5. Step 5: Solve for x
    x = 116,385,291.92/10,831.15
  6. Step 6: Final answer
    x = 10,745.42

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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.