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Finding the Fourth Proportional to 7,585.63, 11,377.53 and 3,202.52

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Solution

The fourth proportional to 7,585.63, 11,377.53 and 3,202.52 is: 4,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.63 : 11,377.53 = 3,202.52 : x
  2. Step 2: Convert to fraction form
    7,585.63/11,377.53 = 3,202.52/x
  3. Step 3: Cross multiply
    7,585.63x = 11,377.53 × 3,202.52
  4. Step 4: Simplify right side
    7,585.63x = 36,436,767.38
  5. Step 5: Solve for x
    x = 36,436,767.38/7,585.63
  6. Step 6: Final answer
    x = 4,803.39

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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.