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Finding the Fourth Proportional to 7,804.57, 11,692 and 4,635.30

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Solution

The fourth proportional to 7,804.57, 11,692 and 4,635.30 is: 6,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.57 : 11,692 = 4,635.30 : x
  2. Step 2: Convert to fraction form
    7,804.57/11,692 = 4,635.30/x
  3. Step 3: Cross multiply
    7,804.57x = 11,692 × 4,635.30
  4. Step 4: Simplify right side
    7,804.57x = 54,195,927.60
  5. Step 5: Solve for x
    x = 54,195,927.60/7,804.57
  6. Step 6: Final answer
    x = 6,944.13

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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.