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Finding the Fourth Proportional to 8,490.34, 11,717.37 and 4,714.69

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Solution

The fourth proportional to 8,490.34, 11,717.37 and 4,714.69 is: 6,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.34 : 11,717.37 = 4,714.69 : x
  2. Step 2: Convert to fraction form
    8,490.34/11,717.37 = 4,714.69/x
  3. Step 3: Cross multiply
    8,490.34x = 11,717.37 × 4,714.69
  4. Step 4: Simplify right side
    8,490.34x = 55,243,786.07
  5. Step 5: Solve for x
    x = 55,243,786.07/8,490.34
  6. Step 6: Final answer
    x = 6,506.66

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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.