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Finding the Fourth Proportional to 7,838.18, 10,816.08 and 4,301.38

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Solution

The fourth proportional to 7,838.18, 10,816.08 and 4,301.38 is: 5,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.18 : 10,816.08 = 4,301.38 : x
  2. Step 2: Convert to fraction form
    7,838.18/10,816.08 = 4,301.38/x
  3. Step 3: Cross multiply
    7,838.18x = 10,816.08 × 4,301.38
  4. Step 4: Simplify right side
    7,838.18x = 46,524,070.19
  5. Step 5: Solve for x
    x = 46,524,070.19/7,838.18
  6. Step 6: Final answer
    x = 5,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.