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Finding the Fourth Proportional to 7,880.28, 11,804.22 and 5,693.40

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Solution

The fourth proportional to 7,880.28, 11,804.22 and 5,693.40 is: 8,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.28 : 11,804.22 = 5,693.40 : x
  2. Step 2: Convert to fraction form
    7,880.28/11,804.22 = 5,693.40/x
  3. Step 3: Cross multiply
    7,880.28x = 11,804.22 × 5,693.40
  4. Step 4: Simplify right side
    7,880.28x = 67,206,146.15
  5. Step 5: Solve for x
    x = 67,206,146.15/7,880.28
  6. Step 6: Final answer
    x = 8,528.40

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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.