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Finding the Fourth Proportional to 7,287.14, 10,056.08 and 4,143.12

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Solution

The fourth proportional to 7,287.14, 10,056.08 and 4,143.12 is: 5,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.14 : 10,056.08 = 4,143.12 : x
  2. Step 2: Convert to fraction form
    7,287.14/10,056.08 = 4,143.12/x
  3. Step 3: Cross multiply
    7,287.14x = 10,056.08 × 4,143.12
  4. Step 4: Simplify right side
    7,287.14x = 41,663,546.17
  5. Step 5: Solve for x
    x = 41,663,546.17/7,287.14
  6. Step 6: Final answer
    x = 5,717.41

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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.