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Finding the Fourth Proportional to 7,605.20, 10,489.56 and 4,808

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Solution

The fourth proportional to 7,605.20, 10,489.56 and 4,808 is: 6,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.20 : 10,489.56 = 4,808 : x
  2. Step 2: Convert to fraction form
    7,605.20/10,489.56 = 4,808/x
  3. Step 3: Cross multiply
    7,605.20x = 10,489.56 × 4,808
  4. Step 4: Simplify right side
    7,605.20x = 50,433,804.48
  5. Step 5: Solve for x
    x = 50,433,804.48/7,605.20
  6. Step 6: Final answer
    x = 6,631.49

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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.