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Finding the Fourth Proportional to 7,258.08, 10,884.96 and 2,640

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Solution

The fourth proportional to 7,258.08, 10,884.96 and 2,640 is: 3,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.08 : 10,884.96 = 2,640 : x
  2. Step 2: Convert to fraction form
    7,258.08/10,884.96 = 2,640/x
  3. Step 3: Cross multiply
    7,258.08x = 10,884.96 × 2,640
  4. Step 4: Simplify right side
    7,258.08x = 28,736,294.40
  5. Step 5: Solve for x
    x = 28,736,294.40/7,258.08
  6. Step 6: Final answer
    x = 3,959.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.