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Finding the Fourth Proportional to 11,740.77, 16,202.28 and 6,435.93

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Solution

The fourth proportional to 11,740.77, 16,202.28 and 6,435.93 is: 8,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.77 : 16,202.28 = 6,435.93 : x
  2. Step 2: Convert to fraction form
    11,740.77/16,202.28 = 6,435.93/x
  3. Step 3: Cross multiply
    11,740.77x = 16,202.28 × 6,435.93
  4. Step 4: Simplify right side
    11,740.77x = 104,276,739.92
  5. Step 5: Solve for x
    x = 104,276,739.92/11,740.77
  6. Step 6: Final answer
    x = 8,881.59

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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.