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Finding the Fourth Proportional to 6,265.36, 8,647.32 and 4,030

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Solution

The fourth proportional to 6,265.36, 8,647.32 and 4,030 is: 5,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.36 : 8,647.32 = 4,030 : x
  2. Step 2: Convert to fraction form
    6,265.36/8,647.32 = 4,030/x
  3. Step 3: Cross multiply
    6,265.36x = 8,647.32 × 4,030
  4. Step 4: Simplify right side
    6,265.36x = 34,848,699.60
  5. Step 5: Solve for x
    x = 34,848,699.60/6,265.36
  6. Step 6: Final answer
    x = 5,562.12

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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.