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Finding the Fourth Proportional to 8,490.78, 11,717.66 and 4,714.00

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Solution

The fourth proportional to 8,490.78, 11,717.66 and 4,714.00 is: 6,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.78 : 11,717.66 = 4,714.00 : x
  2. Step 2: Convert to fraction form
    8,490.78/11,717.66 = 4,714.00/x
  3. Step 3: Cross multiply
    8,490.78x = 11,717.66 × 4,714.00
  4. Step 4: Simplify right side
    8,490.78x = 55,237,074.16
  5. Step 5: Solve for x
    x = 55,237,074.16/8,490.78
  6. Step 6: Final answer
    x = 6,505.53

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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.