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Finding the Fourth Proportional to 10,151.70, 14,009.22 and 5,675.34

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Solution

The fourth proportional to 10,151.70, 14,009.22 and 5,675.34 is: 7,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.70 : 14,009.22 = 5,675.34 : x
  2. Step 2: Convert to fraction form
    10,151.70/14,009.22 = 5,675.34/x
  3. Step 3: Cross multiply
    10,151.70x = 14,009.22 × 5,675.34
  4. Step 4: Simplify right side
    10,151.70x = 79,507,086.63
  5. Step 5: Solve for x
    x = 79,507,086.63/10,151.70
  6. Step 6: Final answer
    x = 7,831.90

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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.