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Finding the Fourth Proportional to 7,765.66, 10,716.87 and 4,408.35

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Solution

The fourth proportional to 7,765.66, 10,716.87 and 4,408.35 is: 6,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.66 : 10,716.87 = 4,408.35 : x
  2. Step 2: Convert to fraction form
    7,765.66/10,716.87 = 4,408.35/x
  3. Step 3: Cross multiply
    7,765.66x = 10,716.87 × 4,408.35
  4. Step 4: Simplify right side
    7,765.66x = 47,243,713.86
  5. Step 5: Solve for x
    x = 47,243,713.86/7,765.66
  6. Step 6: Final answer
    x = 6,083.67

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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.