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Finding the Fourth Proportional to 7,585.68, 11,380.72 and 5,507.76

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Solution

The fourth proportional to 7,585.68, 11,380.72 and 5,507.76 is: 8,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.68 : 11,380.72 = 5,507.76 : x
  2. Step 2: Convert to fraction form
    7,585.68/11,380.72 = 5,507.76/x
  3. Step 3: Cross multiply
    7,585.68x = 11,380.72 × 5,507.76
  4. Step 4: Simplify right side
    7,585.68x = 62,682,274.39
  5. Step 5: Solve for x
    x = 62,682,274.39/7,585.68
  6. Step 6: Final answer
    x = 8,263.24

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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.