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Finding the Fourth Proportional to 7,756.02, 10,703.16 and 4,219.20

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Solution

The fourth proportional to 7,756.02, 10,703.16 and 4,219.20 is: 5,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.02 : 10,703.16 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    7,756.02/10,703.16 = 4,219.20/x
  3. Step 3: Cross multiply
    7,756.02x = 10,703.16 × 4,219.20
  4. Step 4: Simplify right side
    7,756.02x = 45,158,772.67
  5. Step 5: Solve for x
    x = 45,158,772.67/7,756.02
  6. Step 6: Final answer
    x = 5,822.42

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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.