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Finding the Fourth Proportional to 10,361.28, 14,302.88 and 7,844.11

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Solution

The fourth proportional to 10,361.28, 14,302.88 and 7,844.11 is: 10,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.28 : 14,302.88 = 7,844.11 : x
  2. Step 2: Convert to fraction form
    10,361.28/14,302.88 = 7,844.11/x
  3. Step 3: Cross multiply
    10,361.28x = 14,302.88 × 7,844.11
  4. Step 4: Simplify right side
    10,361.28x = 112,193,318.47
  5. Step 5: Solve for x
    x = 112,193,318.47/10,361.28
  6. Step 6: Final answer
    x = 10,828.13

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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.