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Finding the Fourth Proportional to 10,458.98, 15,674.21 and 5,772

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Solution

The fourth proportional to 10,458.98, 15,674.21 and 5,772 is: 8,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.98 : 15,674.21 = 5,772 : x
  2. Step 2: Convert to fraction form
    10,458.98/15,674.21 = 5,772/x
  3. Step 3: Cross multiply
    10,458.98x = 15,674.21 × 5,772
  4. Step 4: Simplify right side
    10,458.98x = 90,471,532.91
  5. Step 5: Solve for x
    x = 90,471,532.91/10,458.98
  6. Step 6: Final answer
    x = 8,650.13

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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.