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Finding the Fourth Proportional to 7,663.01, 11,478.31 and 3,506.49

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Solution

The fourth proportional to 7,663.01, 11,478.31 and 3,506.49 is: 5,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.01 : 11,478.31 = 3,506.49 : x
  2. Step 2: Convert to fraction form
    7,663.01/11,478.31 = 3,506.49/x
  3. Step 3: Cross multiply
    7,663.01x = 11,478.31 × 3,506.49
  4. Step 4: Simplify right side
    7,663.01x = 40,248,570.47
  5. Step 5: Solve for x
    x = 40,248,570.47/7,663.01
  6. Step 6: Final answer
    x = 5,252.32

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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.