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Finding the Fourth Proportional to 7,577.96, 10,451.13 and 6,388.77

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Solution

The fourth proportional to 7,577.96, 10,451.13 and 6,388.77 is: 8,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.96 : 10,451.13 = 6,388.77 : x
  2. Step 2: Convert to fraction form
    7,577.96/10,451.13 = 6,388.77/x
  3. Step 3: Cross multiply
    7,577.96x = 10,451.13 × 6,388.77
  4. Step 4: Simplify right side
    7,577.96x = 66,769,881.04
  5. Step 5: Solve for x
    x = 66,769,881.04/7,577.96
  6. Step 6: Final answer
    x = 8,811.07

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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.