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Finding the Fourth Proportional to 7,428.57, 10,251.53 and 4,071.31

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Solution

The fourth proportional to 7,428.57, 10,251.53 and 4,071.31 is: 5,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.57 : 10,251.53 = 4,071.31 : x
  2. Step 2: Convert to fraction form
    7,428.57/10,251.53 = 4,071.31/x
  3. Step 3: Cross multiply
    7,428.57x = 10,251.53 × 4,071.31
  4. Step 4: Simplify right side
    7,428.57x = 41,737,156.60
  5. Step 5: Solve for x
    x = 41,737,156.60/7,428.57
  6. Step 6: Final answer
    x = 5,618.46

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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.