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Finding the Fourth Proportional to 10,831.44, 14,942.23 and 7,053.24

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Solution

The fourth proportional to 10,831.44, 14,942.23 and 7,053.24 is: 9,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.44 : 14,942.23 = 7,053.24 : x
  2. Step 2: Convert to fraction form
    10,831.44/14,942.23 = 7,053.24/x
  3. Step 3: Cross multiply
    10,831.44x = 14,942.23 × 7,053.24
  4. Step 4: Simplify right side
    10,831.44x = 105,391,134.33
  5. Step 5: Solve for x
    x = 105,391,134.33/10,831.44
  6. Step 6: Final answer
    x = 9,730.11

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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.