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Finding the Fourth Proportional to 7,248, 10,873.90 and 2,317.74

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Solution

The fourth proportional to 7,248, 10,873.90 and 2,317.74 is: 3,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248 : 10,873.90 = 2,317.74 : x
  2. Step 2: Convert to fraction form
    7,248/10,873.90 = 2,317.74/x
  3. Step 3: Cross multiply
    7,248x = 10,873.90 × 2,317.74
  4. Step 4: Simplify right side
    7,248x = 25,202,872.99
  5. Step 5: Solve for x
    x = 25,202,872.99/7,248
  6. Step 6: Final answer
    x = 3,477.22

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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.