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Finding the Fourth Proportional to 10,621.21, 14,635.64 and 8,216.57

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Solution

The fourth proportional to 10,621.21, 14,635.64 and 8,216.57 is: 11,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.21 : 14,635.64 = 8,216.57 : x
  2. Step 2: Convert to fraction form
    10,621.21/14,635.64 = 8,216.57/x
  3. Step 3: Cross multiply
    10,621.21x = 14,635.64 × 8,216.57
  4. Step 4: Simplify right side
    10,621.21x = 120,254,781.10
  5. Step 5: Solve for x
    x = 120,254,781.10/10,621.21
  6. Step 6: Final answer
    x = 11,322.14

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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.