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Finding the Fourth Proportional to 7,756.46, 10,703.60 and 4,219.69

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Solution

The fourth proportional to 7,756.46, 10,703.60 and 4,219.69 is: 5,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.46 : 10,703.60 = 4,219.69 : x
  2. Step 2: Convert to fraction form
    7,756.46/10,703.60 = 4,219.69/x
  3. Step 3: Cross multiply
    7,756.46x = 10,703.60 × 4,219.69
  4. Step 4: Simplify right side
    7,756.46x = 45,165,820.37
  5. Step 5: Solve for x
    x = 45,165,820.37/7,756.46
  6. Step 6: Final answer
    x = 5,822.99

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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.