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Finding the Fourth Proportional to 7,309.68, 10,965.12 and 2,380.08

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Solution

The fourth proportional to 7,309.68, 10,965.12 and 2,380.08 is: 3,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.68 : 10,965.12 = 2,380.08 : x
  2. Step 2: Convert to fraction form
    7,309.68/10,965.12 = 2,380.08/x
  3. Step 3: Cross multiply
    7,309.68x = 10,965.12 × 2,380.08
  4. Step 4: Simplify right side
    7,309.68x = 26,097,862.81
  5. Step 5: Solve for x
    x = 26,097,862.81/7,309.68
  6. Step 6: Final answer
    x = 3,570.32

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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.