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Finding the Fourth Proportional to 7,468.48, 10,309.44 and 4,816

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Solution

The fourth proportional to 7,468.48, 10,309.44 and 4,816 is: 6,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.48 : 10,309.44 = 4,816 : x
  2. Step 2: Convert to fraction form
    7,468.48/10,309.44 = 4,816/x
  3. Step 3: Cross multiply
    7,468.48x = 10,309.44 × 4,816
  4. Step 4: Simplify right side
    7,468.48x = 49,650,263.04
  5. Step 5: Solve for x
    x = 49,650,263.04/7,468.48
  6. Step 6: Final answer
    x = 6,647.97

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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.