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Finding the Fourth Proportional to 7,283.68, 10,927.08 and 2,603.92

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Solution

The fourth proportional to 7,283.68, 10,927.08 and 2,603.92 is: 3,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.68 : 10,927.08 = 2,603.92 : x
  2. Step 2: Convert to fraction form
    7,283.68/10,927.08 = 2,603.92/x
  3. Step 3: Cross multiply
    7,283.68x = 10,927.08 × 2,603.92
  4. Step 4: Simplify right side
    7,283.68x = 28,453,242.15
  5. Step 5: Solve for x
    x = 28,453,242.15/7,283.68
  6. Step 6: Final answer
    x = 3,906.44

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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.