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Finding the Fourth Proportional to 7,303.14, 10,947.42 and 3,599.82

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Solution

The fourth proportional to 7,303.14, 10,947.42 and 3,599.82 is: 5,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.14 : 10,947.42 = 3,599.82 : x
  2. Step 2: Convert to fraction form
    7,303.14/10,947.42 = 3,599.82/x
  3. Step 3: Cross multiply
    7,303.14x = 10,947.42 × 3,599.82
  4. Step 4: Simplify right side
    7,303.14x = 39,408,741.46
  5. Step 5: Solve for x
    x = 39,408,741.46/7,303.14
  6. Step 6: Final answer
    x = 5,396.14

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Why These Related Problems?

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