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Finding the Fourth Proportional to 11,644.92, 16,070.64 and 6,339.63

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Solution

The fourth proportional to 11,644.92, 16,070.64 and 6,339.63 is: 8,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.92 : 16,070.64 = 6,339.63 : x
  2. Step 2: Convert to fraction form
    11,644.92/16,070.64 = 6,339.63/x
  3. Step 3: Cross multiply
    11,644.92x = 16,070.64 × 6,339.63
  4. Step 4: Simplify right side
    11,644.92x = 101,881,911.46
  5. Step 5: Solve for x
    x = 101,881,911.46/11,644.92
  6. Step 6: Final answer
    x = 8,749.04

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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.