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Finding the Fourth Proportional to 10,673.49, 14,728.38 and 7,319.18

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Solution

The fourth proportional to 10,673.49, 14,728.38 and 7,319.18 is: 10,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.49 : 14,728.38 = 7,319.18 : x
  2. Step 2: Convert to fraction form
    10,673.49/14,728.38 = 7,319.18/x
  3. Step 3: Cross multiply
    10,673.49x = 14,728.38 × 7,319.18
  4. Step 4: Simplify right side
    10,673.49x = 107,799,590.69
  5. Step 5: Solve for x
    x = 107,799,590.69/10,673.49
  6. Step 6: Final answer
    x = 10,099.75

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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.