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Finding the Fourth Proportional to 7,841.44, 10,816.72 and 4,695.84

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Solution

The fourth proportional to 7,841.44, 10,816.72 and 4,695.84 is: 6,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.44 : 10,816.72 = 4,695.84 : x
  2. Step 2: Convert to fraction form
    7,841.44/10,816.72 = 4,695.84/x
  3. Step 3: Cross multiply
    7,841.44x = 10,816.72 × 4,695.84
  4. Step 4: Simplify right side
    7,841.44x = 50,793,586.44
  5. Step 5: Solve for x
    x = 50,793,586.44/7,841.44
  6. Step 6: Final answer
    x = 6,477.58

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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.