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Finding the Fourth Proportional to 10,324.72, 15,486.81 and 2,929.11

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Solution

The fourth proportional to 10,324.72, 15,486.81 and 2,929.11 is: 4,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.72 : 15,486.81 = 2,929.11 : x
  2. Step 2: Convert to fraction form
    10,324.72/15,486.81 = 2,929.11/x
  3. Step 3: Cross multiply
    10,324.72x = 15,486.81 × 2,929.11
  4. Step 4: Simplify right side
    10,324.72x = 45,362,570.04
  5. Step 5: Solve for x
    x = 45,362,570.04/10,324.72
  6. Step 6: Final answer
    x = 4,393.59

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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.