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Finding the Fourth Proportional to 7,838.16, 10,816.63 and 4,253.12

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Solution

The fourth proportional to 7,838.16, 10,816.63 and 4,253.12 is: 5,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.16 : 10,816.63 = 4,253.12 : x
  2. Step 2: Convert to fraction form
    7,838.16/10,816.63 = 4,253.12/x
  3. Step 3: Cross multiply
    7,838.16x = 10,816.63 × 4,253.12
  4. Step 4: Simplify right side
    7,838.16x = 46,004,350.04
  5. Step 5: Solve for x
    x = 46,004,350.04/7,838.16
  6. Step 6: Final answer
    x = 5,869.28

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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.