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Finding the Fourth Proportional to 10,644.54, 14,690.34 and 5,929.14

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Solution

The fourth proportional to 10,644.54, 14,690.34 and 5,929.14 is: 8,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.54 : 14,690.34 = 5,929.14 : x
  2. Step 2: Convert to fraction form
    10,644.54/14,690.34 = 5,929.14/x
  3. Step 3: Cross multiply
    10,644.54x = 14,690.34 × 5,929.14
  4. Step 4: Simplify right side
    10,644.54x = 87,101,082.51
  5. Step 5: Solve for x
    x = 87,101,082.51/10,644.54
  6. Step 6: Final answer
    x = 8,182.70

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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.