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Finding the Fourth Proportional to 7,622.54, 10,520.32 and 4,478.70

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Solution

The fourth proportional to 7,622.54, 10,520.32 and 4,478.70 is: 6,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.54 : 10,520.32 = 4,478.70 : x
  2. Step 2: Convert to fraction form
    7,622.54/10,520.32 = 4,478.70/x
  3. Step 3: Cross multiply
    7,622.54x = 10,520.32 × 4,478.70
  4. Step 4: Simplify right side
    7,622.54x = 47,117,357.18
  5. Step 5: Solve for x
    x = 47,117,357.18/7,622.54
  6. Step 6: Final answer
    x = 6,181.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.