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Finding the Fourth Proportional to 7,362.82, 10,160.79 and 4,219

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Solution

The fourth proportional to 7,362.82, 10,160.79 and 4,219 is: 5,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.82 : 10,160.79 = 4,219 : x
  2. Step 2: Convert to fraction form
    7,362.82/10,160.79 = 4,219/x
  3. Step 3: Cross multiply
    7,362.82x = 10,160.79 × 4,219
  4. Step 4: Simplify right side
    7,362.82x = 42,868,373.01
  5. Step 5: Solve for x
    x = 42,868,373.01/7,362.82
  6. Step 6: Final answer
    x = 5,822.28

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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.