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Finding the Fourth Proportional to 7,858.24, 10,844.10 and 4,671.54

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Solution

The fourth proportional to 7,858.24, 10,844.10 and 4,671.54 is: 6,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.24 : 10,844.10 = 4,671.54 : x
  2. Step 2: Convert to fraction form
    7,858.24/10,844.10 = 4,671.54/x
  3. Step 3: Cross multiply
    7,858.24x = 10,844.10 × 4,671.54
  4. Step 4: Simplify right side
    7,858.24x = 50,658,646.91
  5. Step 5: Solve for x
    x = 50,658,646.91/7,858.24
  6. Step 6: Final answer
    x = 6,446.57

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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.