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Finding the Fourth Proportional to 7,142.94, 10,673.46 and 5,444.94

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Solution

The fourth proportional to 7,142.94, 10,673.46 and 5,444.94 is: 8,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.94 : 10,673.46 = 5,444.94 : x
  2. Step 2: Convert to fraction form
    7,142.94/10,673.46 = 5,444.94/x
  3. Step 3: Cross multiply
    7,142.94x = 10,673.46 × 5,444.94
  4. Step 4: Simplify right side
    7,142.94x = 58,116,322.07
  5. Step 5: Solve for x
    x = 58,116,322.07/7,142.94
  6. Step 6: Final answer
    x = 8,136.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.