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Finding the Fourth Proportional to 8,017.53, 12,029.75 and 4,319.02

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Solution

The fourth proportional to 8,017.53, 12,029.75 and 4,319.02 is: 6,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.53 : 12,029.75 = 4,319.02 : x
  2. Step 2: Convert to fraction form
    8,017.53/12,029.75 = 4,319.02/x
  3. Step 3: Cross multiply
    8,017.53x = 12,029.75 × 4,319.02
  4. Step 4: Simplify right side
    8,017.53x = 51,956,730.85
  5. Step 5: Solve for x
    x = 51,956,730.85/8,017.53
  6. Step 6: Final answer
    x = 6,480.39

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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.