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Finding the Fourth Proportional to 10,831.80, 14,940.22 and 7,048

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Solution

The fourth proportional to 10,831.80, 14,940.22 and 7,048 is: 9,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.80 : 14,940.22 = 7,048 : x
  2. Step 2: Convert to fraction form
    10,831.80/14,940.22 = 7,048/x
  3. Step 3: Cross multiply
    10,831.80x = 14,940.22 × 7,048
  4. Step 4: Simplify right side
    10,831.80x = 105,298,670.56
  5. Step 5: Solve for x
    x = 105,298,670.56/10,831.80
  6. Step 6: Final answer
    x = 9,721.25

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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.