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Finding the Fourth Proportional to 7,333.84, 10,119.20 and 4,645.92

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Solution

The fourth proportional to 7,333.84, 10,119.20 and 4,645.92 is: 6,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.84 : 10,119.20 = 4,645.92 : x
  2. Step 2: Convert to fraction form
    7,333.84/10,119.20 = 4,645.92/x
  3. Step 3: Cross multiply
    7,333.84x = 10,119.20 × 4,645.92
  4. Step 4: Simplify right side
    7,333.84x = 47,012,993.66
  5. Step 5: Solve for x
    x = 47,012,993.66/7,333.84
  6. Step 6: Final answer
    x = 6,410.42

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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.