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Finding the Fourth Proportional to 8,173.61, 11,280.84 and 4,636.07

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Solution

The fourth proportional to 8,173.61, 11,280.84 and 4,636.07 is: 6,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.61 : 11,280.84 = 4,636.07 : x
  2. Step 2: Convert to fraction form
    8,173.61/11,280.84 = 4,636.07/x
  3. Step 3: Cross multiply
    8,173.61x = 11,280.84 × 4,636.07
  4. Step 4: Simplify right side
    8,173.61x = 52,298,763.90
  5. Step 5: Solve for x
    x = 52,298,763.90/8,173.61
  6. Step 6: Final answer
    x = 6,398.49

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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.