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Finding the Fourth Proportional to 7,693.36, 10,617 and 4,336

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Solution

The fourth proportional to 7,693.36, 10,617 and 4,336 is: 5,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.36 : 10,617 = 4,336 : x
  2. Step 2: Convert to fraction form
    7,693.36/10,617 = 4,336/x
  3. Step 3: Cross multiply
    7,693.36x = 10,617 × 4,336
  4. Step 4: Simplify right side
    7,693.36x = 46,035,312
  5. Step 5: Solve for x
    x = 46,035,312/7,693.36
  6. Step 6: Final answer
    x = 5,983.77

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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.