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Finding the Fourth Proportional to 6,858.96, 10,302.42 and 4,522.32

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Solution

The fourth proportional to 6,858.96, 10,302.42 and 4,522.32 is: 6,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.96 : 10,302.42 = 4,522.32 : x
  2. Step 2: Convert to fraction form
    6,858.96/10,302.42 = 4,522.32/x
  3. Step 3: Cross multiply
    6,858.96x = 10,302.42 × 4,522.32
  4. Step 4: Simplify right side
    6,858.96x = 46,590,840.01
  5. Step 5: Solve for x
    x = 46,590,840.01/6,858.96
  6. Step 6: Final answer
    x = 6,792.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.