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Finding the Fourth Proportional to 7,769.21, 10,721.58 and 4,582.58

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Solution

The fourth proportional to 7,769.21, 10,721.58 and 4,582.58 is: 6,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.21 : 10,721.58 = 4,582.58 : x
  2. Step 2: Convert to fraction form
    7,769.21/10,721.58 = 4,582.58/x
  3. Step 3: Cross multiply
    7,769.21x = 10,721.58 × 4,582.58
  4. Step 4: Simplify right side
    7,769.21x = 49,132,498.08
  5. Step 5: Solve for x
    x = 49,132,498.08/7,769.21
  6. Step 6: Final answer
    x = 6,324.00

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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.