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Finding the Fourth Proportional to 7,701.77, 10,628.45 and 4,164.98

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Solution

The fourth proportional to 7,701.77, 10,628.45 and 4,164.98 is: 5,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.77 : 10,628.45 = 4,164.98 : x
  2. Step 2: Convert to fraction form
    7,701.77/10,628.45 = 4,164.98/x
  3. Step 3: Cross multiply
    7,701.77x = 10,628.45 × 4,164.98
  4. Step 4: Simplify right side
    7,701.77x = 44,267,238.95
  5. Step 5: Solve for x
    x = 44,267,238.95/7,701.77
  6. Step 6: Final answer
    x = 5,747.67

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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.