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Finding the Fourth Proportional to 7,800.96, 11,701.59 and 3,639.83

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Solution

The fourth proportional to 7,800.96, 11,701.59 and 3,639.83 is: 5,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.96 : 11,701.59 = 3,639.83 : x
  2. Step 2: Convert to fraction form
    7,800.96/11,701.59 = 3,639.83/x
  3. Step 3: Cross multiply
    7,800.96x = 11,701.59 × 3,639.83
  4. Step 4: Simplify right side
    7,800.96x = 42,591,809.38
  5. Step 5: Solve for x
    x = 42,591,809.38/7,800.96
  6. Step 6: Final answer
    x = 5,459.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.