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Finding the Fourth Proportional to 7,876.28, 11,798.22 and 5,689.40

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Solution

The fourth proportional to 7,876.28, 11,798.22 and 5,689.40 is: 8,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.28 : 11,798.22 = 5,689.40 : x
  2. Step 2: Convert to fraction form
    7,876.28/11,798.22 = 5,689.40/x
  3. Step 3: Cross multiply
    7,876.28x = 11,798.22 × 5,689.40
  4. Step 4: Simplify right side
    7,876.28x = 67,124,792.87
  5. Step 5: Solve for x
    x = 67,124,792.87/7,876.28
  6. Step 6: Final answer
    x = 8,522.40

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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.