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Finding the Fourth Proportional to 7,855.16, 10,838.90 and 5,025.07

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Solution

The fourth proportional to 7,855.16, 10,838.90 and 5,025.07 is: 6,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.16 : 10,838.90 = 5,025.07 : x
  2. Step 2: Convert to fraction form
    7,855.16/10,838.90 = 5,025.07/x
  3. Step 3: Cross multiply
    7,855.16x = 10,838.90 × 5,025.07
  4. Step 4: Simplify right side
    7,855.16x = 54,466,231.22
  5. Step 5: Solve for x
    x = 54,466,231.22/7,855.16
  6. Step 6: Final answer
    x = 6,933.82

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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.