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Finding the Fourth Proportional to 7,622.04, 10,520.10 and 4,827

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Solution

The fourth proportional to 7,622.04, 10,520.10 and 4,827 is: 6,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.04 : 10,520.10 = 4,827 : x
  2. Step 2: Convert to fraction form
    7,622.04/10,520.10 = 4,827/x
  3. Step 3: Cross multiply
    7,622.04x = 10,520.10 × 4,827
  4. Step 4: Simplify right side
    7,622.04x = 50,780,522.70
  5. Step 5: Solve for x
    x = 50,780,522.70/7,622.04
  6. Step 6: Final answer
    x = 6,662.33

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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.