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Finding the Fourth Proportional to 8,498.95, 12,751.94 and 6,762.31

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Solution

The fourth proportional to 8,498.95, 12,751.94 and 6,762.31 is: 10,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.95 : 12,751.94 = 6,762.31 : x
  2. Step 2: Convert to fraction form
    8,498.95/12,751.94 = 6,762.31/x
  3. Step 3: Cross multiply
    8,498.95x = 12,751.94 × 6,762.31
  4. Step 4: Simplify right side
    8,498.95x = 86,232,556.41
  5. Step 5: Solve for x
    x = 86,232,556.41/8,498.95
  6. Step 6: Final answer
    x = 10,146.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.