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Finding the Fourth Proportional to 8,518.50, 12,778.25 and 3,254.00

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Solution

The fourth proportional to 8,518.50, 12,778.25 and 3,254.00 is: 4,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.50 : 12,778.25 = 3,254.00 : x
  2. Step 2: Convert to fraction form
    8,518.50/12,778.25 = 3,254.00/x
  3. Step 3: Cross multiply
    8,518.50x = 12,778.25 × 3,254.00
  4. Step 4: Simplify right side
    8,518.50x = 41,580,345.34
  5. Step 5: Solve for x
    x = 41,580,345.34/8,518.50
  6. Step 6: Final answer
    x = 4,881.18

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Why These Related Problems?

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