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Finding the Fourth Proportional to 10,317, 14,238 and 6,068.28

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Solution

The fourth proportional to 10,317, 14,238 and 6,068.28 is: 8,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317 : 14,238 = 6,068.28 : x
  2. Step 2: Convert to fraction form
    10,317/14,238 = 6,068.28/x
  3. Step 3: Cross multiply
    10,317x = 14,238 × 6,068.28
  4. Step 4: Simplify right side
    10,317x = 86,400,170.64
  5. Step 5: Solve for x
    x = 86,400,170.64/10,317
  6. Step 6: Final answer
    x = 8,374.54

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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.