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Finding the Fourth Proportional to 11,766.60, 16,237.53 and 6,461.37

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Solution

The fourth proportional to 11,766.60, 16,237.53 and 6,461.37 is: 8,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.60 : 16,237.53 = 6,461.37 : x
  2. Step 2: Convert to fraction form
    11,766.60/16,237.53 = 6,461.37/x
  3. Step 3: Cross multiply
    11,766.60x = 16,237.53 × 6,461.37
  4. Step 4: Simplify right side
    11,766.60x = 104,916,689.22
  5. Step 5: Solve for x
    x = 104,916,689.22/11,766.60
  6. Step 6: Final answer
    x = 8,916.48

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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.