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Finding the Fourth Proportional to 7,603.30, 10,495.38 and 5,629.78

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Solution

The fourth proportional to 7,603.30, 10,495.38 and 5,629.78 is: 7,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.30 : 10,495.38 = 5,629.78 : x
  2. Step 2: Convert to fraction form
    7,603.30/10,495.38 = 5,629.78/x
  3. Step 3: Cross multiply
    7,603.30x = 10,495.38 × 5,629.78
  4. Step 4: Simplify right side
    7,603.30x = 59,086,680.42
  5. Step 5: Solve for x
    x = 59,086,680.42/7,603.30
  6. Step 6: Final answer
    x = 7,771.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.