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Finding the Fourth Proportional to 8,490.66, 11,717.13 and 4,764.66

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Solution

The fourth proportional to 8,490.66, 11,717.13 and 4,764.66 is: 6,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.66 : 11,717.13 = 4,764.66 : x
  2. Step 2: Convert to fraction form
    8,490.66/11,717.13 = 4,764.66/x
  3. Step 3: Cross multiply
    8,490.66x = 11,717.13 × 4,764.66
  4. Step 4: Simplify right side
    8,490.66x = 55,828,140.63
  5. Step 5: Solve for x
    x = 55,828,140.63/8,490.66
  6. Step 6: Final answer
    x = 6,575.24

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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.