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Finding the Fourth Proportional to 7,603.20, 10,494.72 and 4,809.60

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Solution

The fourth proportional to 7,603.20, 10,494.72 and 4,809.60 is: 6,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.20 : 10,494.72 = 4,809.60 : x
  2. Step 2: Convert to fraction form
    7,603.20/10,494.72 = 4,809.60/x
  3. Step 3: Cross multiply
    7,603.20x = 10,494.72 × 4,809.60
  4. Step 4: Simplify right side
    7,603.20x = 50,475,405.31
  5. Step 5: Solve for x
    x = 50,475,405.31/7,603.20
  6. Step 6: Final answer
    x = 6,638.71

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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.