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Finding the Fourth Proportional to 10,676.08, 14,738.39 and 7,320.25

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Solution

The fourth proportional to 10,676.08, 14,738.39 and 7,320.25 is: 10,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.08 : 14,738.39 = 7,320.25 : x
  2. Step 2: Convert to fraction form
    10,676.08/14,738.39 = 7,320.25/x
  3. Step 3: Cross multiply
    10,676.08x = 14,738.39 × 7,320.25
  4. Step 4: Simplify right side
    10,676.08x = 107,888,699.40
  5. Step 5: Solve for x
    x = 107,888,699.40/10,676.08
  6. Step 6: Final answer
    x = 10,105.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.