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Finding the Fourth Proportional to 7,838.31, 10,816.52 and 4,301.45

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Solution

The fourth proportional to 7,838.31, 10,816.52 and 4,301.45 is: 5,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.31 : 10,816.52 = 4,301.45 : x
  2. Step 2: Convert to fraction form
    7,838.31/10,816.52 = 4,301.45/x
  3. Step 3: Cross multiply
    7,838.31x = 10,816.52 × 4,301.45
  4. Step 4: Simplify right side
    7,838.31x = 46,526,719.95
  5. Step 5: Solve for x
    x = 46,526,719.95/7,838.31
  6. Step 6: Final answer
    x = 5,935.81

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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.