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Finding the Fourth Proportional to 7,258.82, 10,016.57 and 4,071.68

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Solution

The fourth proportional to 7,258.82, 10,016.57 and 4,071.68 is: 5,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.82 : 10,016.57 = 4,071.68 : x
  2. Step 2: Convert to fraction form
    7,258.82/10,016.57 = 4,071.68/x
  3. Step 3: Cross multiply
    7,258.82x = 10,016.57 × 4,071.68
  4. Step 4: Simplify right side
    7,258.82x = 40,784,225.77
  5. Step 5: Solve for x
    x = 40,784,225.77/7,258.82
  6. Step 6: Final answer
    x = 5,618.57

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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.