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Finding the Fourth Proportional to 8,488.66, 11,714.37 and 4,762.66

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Solution

The fourth proportional to 8,488.66, 11,714.37 and 4,762.66 is: 6,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.66 : 11,714.37 = 4,762.66 : x
  2. Step 2: Convert to fraction form
    8,488.66/11,714.37 = 4,762.66/x
  3. Step 3: Cross multiply
    8,488.66x = 11,714.37 × 4,762.66
  4. Step 4: Simplify right side
    8,488.66x = 55,791,561.42
  5. Step 5: Solve for x
    x = 55,791,561.42/8,488.66
  6. Step 6: Final answer
    x = 6,572.48

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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.