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Finding the Fourth Proportional to 7,338.08, 10,127.76 and 4,196

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Solution

The fourth proportional to 7,338.08, 10,127.76 and 4,196 is: 5,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.08 : 10,127.76 = 4,196 : x
  2. Step 2: Convert to fraction form
    7,338.08/10,127.76 = 4,196/x
  3. Step 3: Cross multiply
    7,338.08x = 10,127.76 × 4,196
  4. Step 4: Simplify right side
    7,338.08x = 42,496,080.96
  5. Step 5: Solve for x
    x = 42,496,080.96/7,338.08
  6. Step 6: Final answer
    x = 5,791.17

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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.