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Finding the Fourth Proportional to 8,488.54, 11,714.25 and 4,762.54

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Solution

The fourth proportional to 8,488.54, 11,714.25 and 4,762.54 is: 6,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.54 : 11,714.25 = 4,762.54 : x
  2. Step 2: Convert to fraction form
    8,488.54/11,714.25 = 4,762.54/x
  3. Step 3: Cross multiply
    8,488.54x = 11,714.25 × 4,762.54
  4. Step 4: Simplify right side
    8,488.54x = 55,789,584.20
  5. Step 5: Solve for x
    x = 55,789,584.20/8,488.54
  6. Step 6: Final answer
    x = 6,572.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.