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Finding the Fourth Proportional to 7,809.92, 11,709.36 and 3,645.52

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Solution

The fourth proportional to 7,809.92, 11,709.36 and 3,645.52 is: 5,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.92 : 11,709.36 = 3,645.52 : x
  2. Step 2: Convert to fraction form
    7,809.92/11,709.36 = 3,645.52/x
  3. Step 3: Cross multiply
    7,809.92x = 11,709.36 × 3,645.52
  4. Step 4: Simplify right side
    7,809.92x = 42,686,706.07
  5. Step 5: Solve for x
    x = 42,686,706.07/7,809.92
  6. Step 6: Final answer
    x = 5,465.70

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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.