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Finding the Fourth Proportional to 7,585.57, 11,377.29 and 3,202

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Solution

The fourth proportional to 7,585.57, 11,377.29 and 3,202 is: 4,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.57 : 11,377.29 = 3,202 : x
  2. Step 2: Convert to fraction form
    7,585.57/11,377.29 = 3,202/x
  3. Step 3: Cross multiply
    7,585.57x = 11,377.29 × 3,202
  4. Step 4: Simplify right side
    7,585.57x = 36,430,082.58
  5. Step 5: Solve for x
    x = 36,430,082.58/7,585.57
  6. Step 6: Final answer
    x = 4,802.55

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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.