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Finding the Fourth Proportional to 11,627.40, 16,048.13 and 6,910.77

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Solution

The fourth proportional to 11,627.40, 16,048.13 and 6,910.77 is: 9,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.40 : 16,048.13 = 6,910.77 : x
  2. Step 2: Convert to fraction form
    11,627.40/16,048.13 = 6,910.77/x
  3. Step 3: Cross multiply
    11,627.40x = 16,048.13 × 6,910.77
  4. Step 4: Simplify right side
    11,627.40x = 110,904,900.81
  5. Step 5: Solve for x
    x = 110,904,900.81/11,627.40
  6. Step 6: Final answer
    x = 9,538.24

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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.