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Finding the Fourth Proportional to 11,749.61, 16,215.48 and 6,445.46

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Solution

The fourth proportional to 11,749.61, 16,215.48 and 6,445.46 is: 8,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.61 : 16,215.48 = 6,445.46 : x
  2. Step 2: Convert to fraction form
    11,749.61/16,215.48 = 6,445.46/x
  3. Step 3: Cross multiply
    11,749.61x = 16,215.48 × 6,445.46
  4. Step 4: Simplify right side
    11,749.61x = 104,516,227.72
  5. Step 5: Solve for x
    x = 104,516,227.72/11,749.61
  6. Step 6: Final answer
    x = 8,895.29

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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.