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Finding the Fourth Proportional to 8,490.02, 11,714.63 and 4,952.34

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Solution

The fourth proportional to 8,490.02, 11,714.63 and 4,952.34 is: 6,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.02 : 11,714.63 = 4,952.34 : x
  2. Step 2: Convert to fraction form
    8,490.02/11,714.63 = 4,952.34/x
  3. Step 3: Cross multiply
    8,490.02x = 11,714.63 × 4,952.34
  4. Step 4: Simplify right side
    8,490.02x = 58,014,805.97
  5. Step 5: Solve for x
    x = 58,014,805.97/8,490.02
  6. Step 6: Final answer
    x = 6,833.30

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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.