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Finding the Fourth Proportional to 8,177.90, 12,259.35 and 2,980.13

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Solution

The fourth proportional to 8,177.90, 12,259.35 and 2,980.13 is: 4,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.90 : 12,259.35 = 2,980.13 : x
  2. Step 2: Convert to fraction form
    8,177.90/12,259.35 = 2,980.13/x
  3. Step 3: Cross multiply
    8,177.90x = 12,259.35 × 2,980.13
  4. Step 4: Simplify right side
    8,177.90x = 36,534,395.42
  5. Step 5: Solve for x
    x = 36,534,395.42/8,177.90
  6. Step 6: Final answer
    x = 4,467.46

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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.