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Finding the Fourth Proportional to 7,756.71, 10,704.50 and 4,399.66

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Solution

The fourth proportional to 7,756.71, 10,704.50 and 4,399.66 is: 6,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.71 : 10,704.50 = 4,399.66 : x
  2. Step 2: Convert to fraction form
    7,756.71/10,704.50 = 4,399.66/x
  3. Step 3: Cross multiply
    7,756.71x = 10,704.50 × 4,399.66
  4. Step 4: Simplify right side
    7,756.71x = 47,096,160.47
  5. Step 5: Solve for x
    x = 47,096,160.47/7,756.71
  6. Step 6: Final answer
    x = 6,071.67

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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.