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Finding the Fourth Proportional to 11,645.76, 16,070.64 and 6,340.57

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Solution

The fourth proportional to 11,645.76, 16,070.64 and 6,340.57 is: 8,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.76 : 16,070.64 = 6,340.57 : x
  2. Step 2: Convert to fraction form
    11,645.76/16,070.64 = 6,340.57/x
  3. Step 3: Cross multiply
    11,645.76x = 16,070.64 × 6,340.57
  4. Step 4: Simplify right side
    11,645.76x = 101,897,017.86
  5. Step 5: Solve for x
    x = 101,897,017.86/11,645.76
  6. Step 6: Final answer
    x = 8,749.71

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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.