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Finding the Fourth Proportional to 7,754.47, 10,701.32 and 4,217.67

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Solution

The fourth proportional to 7,754.47, 10,701.32 and 4,217.67 is: 5,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.47 : 10,701.32 = 4,217.67 : x
  2. Step 2: Convert to fraction form
    7,754.47/10,701.32 = 4,217.67/x
  3. Step 3: Cross multiply
    7,754.47x = 10,701.32 × 4,217.67
  4. Step 4: Simplify right side
    7,754.47x = 45,134,615.24
  5. Step 5: Solve for x
    x = 45,134,615.24/7,754.47
  6. Step 6: Final answer
    x = 5,820.47

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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.