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Finding the Fourth Proportional to 8,993.50, 12,410.51 and 5,014.47

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Solution

The fourth proportional to 8,993.50, 12,410.51 and 5,014.47 is: 6,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.50 : 12,410.51 = 5,014.47 : x
  2. Step 2: Convert to fraction form
    8,993.50/12,410.51 = 5,014.47/x
  3. Step 3: Cross multiply
    8,993.50x = 12,410.51 × 5,014.47
  4. Step 4: Simplify right side
    8,993.50x = 62,232,130.08
  5. Step 5: Solve for x
    x = 62,232,130.08/8,993.50
  6. Step 6: Final answer
    x = 6,919.68

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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.