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Finding the Fourth Proportional to 7,756.25, 10,703.70 and 4,219.46

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Solution

The fourth proportional to 7,756.25, 10,703.70 and 4,219.46 is: 5,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.25 : 10,703.70 = 4,219.46 : x
  2. Step 2: Convert to fraction form
    7,756.25/10,703.70 = 4,219.46/x
  3. Step 3: Cross multiply
    7,756.25x = 10,703.70 × 4,219.46
  4. Step 4: Simplify right side
    7,756.25x = 45,163,820.62
  5. Step 5: Solve for x
    x = 45,163,820.62/7,756.25
  6. Step 6: Final answer
    x = 5,822.90

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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.