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Finding the Fourth Proportional to 11,740.76, 16,202.28 and 6,435.92

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Solution

The fourth proportional to 11,740.76, 16,202.28 and 6,435.92 is: 8,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.76 : 16,202.28 = 6,435.92 : x
  2. Step 2: Convert to fraction form
    11,740.76/16,202.28 = 6,435.92/x
  3. Step 3: Cross multiply
    11,740.76x = 16,202.28 × 6,435.92
  4. Step 4: Simplify right side
    11,740.76x = 104,276,577.90
  5. Step 5: Solve for x
    x = 104,276,577.90/11,740.76
  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.