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Finding the Fourth Proportional to 7,821.94, 10,794.54 and 4,285.35

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Solution

The fourth proportional to 7,821.94, 10,794.54 and 4,285.35 is: 5,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.94 : 10,794.54 = 4,285.35 : x
  2. Step 2: Convert to fraction form
    7,821.94/10,794.54 = 4,285.35/x
  3. Step 3: Cross multiply
    7,821.94x = 10,794.54 × 4,285.35
  4. Step 4: Simplify right side
    7,821.94x = 46,258,381.99
  5. Step 5: Solve for x
    x = 46,258,381.99/7,821.94
  6. Step 6: Final answer
    x = 5,913.93

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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.