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Finding the Fourth Proportional to 11,645.06, 16,080.85 and 7,397.49

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Solution

The fourth proportional to 11,645.06, 16,080.85 and 7,397.49 is: 10,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.06 : 16,080.85 = 7,397.49 : x
  2. Step 2: Convert to fraction form
    11,645.06/16,080.85 = 7,397.49/x
  3. Step 3: Cross multiply
    11,645.06x = 16,080.85 × 7,397.49
  4. Step 4: Simplify right side
    11,645.06x = 118,957,927.07
  5. Step 5: Solve for x
    x = 118,957,927.07/11,645.06
  6. Step 6: Final answer
    x = 10,215.32

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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.