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Finding the Fourth Proportional to 10,168.81, 14,032.28 and 5,631.17

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Solution

The fourth proportional to 10,168.81, 14,032.28 and 5,631.17 is: 7,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.81 : 14,032.28 = 5,631.17 : x
  2. Step 2: Convert to fraction form
    10,168.81/14,032.28 = 5,631.17/x
  3. Step 3: Cross multiply
    10,168.81x = 14,032.28 × 5,631.17
  4. Step 4: Simplify right side
    10,168.81x = 79,018,090.93
  5. Step 5: Solve for x
    x = 79,018,090.93/10,168.81
  6. Step 6: Final answer
    x = 7,770.63

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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.