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Finding the Fourth Proportional to 7,744.66, 10,668.09 and 6,248.39

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Solution

The fourth proportional to 7,744.66, 10,668.09 and 6,248.39 is: 8,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.66 : 10,668.09 = 6,248.39 : x
  2. Step 2: Convert to fraction form
    7,744.66/10,668.09 = 6,248.39/x
  3. Step 3: Cross multiply
    7,744.66x = 10,668.09 × 6,248.39
  4. Step 4: Simplify right side
    7,744.66x = 66,658,386.88
  5. Step 5: Solve for x
    x = 66,658,386.88/7,744.66
  6. Step 6: Final answer
    x = 8,607.01

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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.