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Finding the Fourth Proportional to 6,821.01, 10,210.32 and 4,357.80

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Solution

The fourth proportional to 6,821.01, 10,210.32 and 4,357.80 is: 6,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.01 : 10,210.32 = 4,357.80 : x
  2. Step 2: Convert to fraction form
    6,821.01/10,210.32 = 4,357.80/x
  3. Step 3: Cross multiply
    6,821.01x = 10,210.32 × 4,357.80
  4. Step 4: Simplify right side
    6,821.01x = 44,494,532.50
  5. Step 5: Solve for x
    x = 44,494,532.50/6,821.01
  6. Step 6: Final answer
    x = 6,523.16

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Why These Related Problems?

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