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Finding the Fourth Proportional to 7,428.97, 10,251.76 and 4,071.71

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Solution

The fourth proportional to 7,428.97, 10,251.76 and 4,071.71 is: 5,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.97 : 10,251.76 = 4,071.71 : x
  2. Step 2: Convert to fraction form
    7,428.97/10,251.76 = 4,071.71/x
  3. Step 3: Cross multiply
    7,428.97x = 10,251.76 × 4,071.71
  4. Step 4: Simplify right side
    7,428.97x = 41,742,193.71
  5. Step 5: Solve for x
    x = 41,742,193.71/7,428.97
  6. Step 6: Final answer
    x = 5,618.84

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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.