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Finding the Fourth Proportional to 7,979.77, 11,965.65 and 4,649.10

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Solution

The fourth proportional to 7,979.77, 11,965.65 and 4,649.10 is: 6,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.77 : 11,965.65 = 4,649.10 : x
  2. Step 2: Convert to fraction form
    7,979.77/11,965.65 = 4,649.10/x
  3. Step 3: Cross multiply
    7,979.77x = 11,965.65 × 4,649.10
  4. Step 4: Simplify right side
    7,979.77x = 55,629,503.42
  5. Step 5: Solve for x
    x = 55,629,503.42/7,979.77
  6. Step 6: Final answer
    x = 6,971.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.