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Finding the Fourth Proportional to 7,570.50, 10,447.32 and 4,258.50

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Solution

The fourth proportional to 7,570.50, 10,447.32 and 4,258.50 is: 5,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.50 : 10,447.32 = 4,258.50 : x
  2. Step 2: Convert to fraction form
    7,570.50/10,447.32 = 4,258.50/x
  3. Step 3: Cross multiply
    7,570.50x = 10,447.32 × 4,258.50
  4. Step 4: Simplify right side
    7,570.50x = 44,489,912.22
  5. Step 5: Solve for x
    x = 44,489,912.22/7,570.50
  6. Step 6: Final answer
    x = 5,876.75

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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.