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Finding the Fourth Proportional to 5,509.84, 8,268.36 and 5,145.40

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Solution

The fourth proportional to 5,509.84, 8,268.36 and 5,145.40 is: 7,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.84 : 8,268.36 = 5,145.40 : x
  2. Step 2: Convert to fraction form
    5,509.84/8,268.36 = 5,145.40/x
  3. Step 3: Cross multiply
    5,509.84x = 8,268.36 × 5,145.40
  4. Step 4: Simplify right side
    5,509.84x = 42,544,019.54
  5. Step 5: Solve for x
    x = 42,544,019.54/5,509.84
  6. Step 6: Final answer
    x = 7,721.46

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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.