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Finding the Fourth Proportional to 11,635.22, 16,057.02 and 6,461.24

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Solution

The fourth proportional to 11,635.22, 16,057.02 and 6,461.24 is: 8,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.22 : 16,057.02 = 6,461.24 : x
  2. Step 2: Convert to fraction form
    11,635.22/16,057.02 = 6,461.24/x
  3. Step 3: Cross multiply
    11,635.22x = 16,057.02 × 6,461.24
  4. Step 4: Simplify right side
    11,635.22x = 103,748,259.90
  5. Step 5: Solve for x
    x = 103,748,259.90/11,635.22
  6. Step 6: Final answer
    x = 8,916.74

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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.