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Finding the Fourth Proportional to 7,858.08, 10,821.60 and 6,458.40

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Solution

The fourth proportional to 7,858.08, 10,821.60 and 6,458.40 is: 8,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.08 : 10,821.60 = 6,458.40 : x
  2. Step 2: Convert to fraction form
    7,858.08/10,821.60 = 6,458.40/x
  3. Step 3: Cross multiply
    7,858.08x = 10,821.60 × 6,458.40
  4. Step 4: Simplify right side
    7,858.08x = 69,890,221.44
  5. Step 5: Solve for x
    x = 69,890,221.44/7,858.08
  6. Step 6: Final answer
    x = 8,894.06

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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.