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Finding the Fourth Proportional to 7,309.64, 10,965.38 and 2,377.96

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Solution

The fourth proportional to 7,309.64, 10,965.38 and 2,377.96 is: 3,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.64 : 10,965.38 = 2,377.96 : x
  2. Step 2: Convert to fraction form
    7,309.64/10,965.38 = 2,377.96/x
  3. Step 3: Cross multiply
    7,309.64x = 10,965.38 × 2,377.96
  4. Step 4: Simplify right side
    7,309.64x = 26,075,195.72
  5. Step 5: Solve for x
    x = 26,075,195.72/7,309.64
  6. Step 6: Final answer
    x = 3,567.23

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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.