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Finding the Fourth Proportional to 8,257.32, 11,394.90 and 4,720.32

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Solution

The fourth proportional to 8,257.32, 11,394.90 and 4,720.32 is: 6,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.32 : 11,394.90 = 4,720.32 : x
  2. Step 2: Convert to fraction form
    8,257.32/11,394.90 = 4,720.32/x
  3. Step 3: Cross multiply
    8,257.32x = 11,394.90 × 4,720.32
  4. Step 4: Simplify right side
    8,257.32x = 53,787,574.37
  5. Step 5: Solve for x
    x = 53,787,574.37/8,257.32
  6. Step 6: Final answer
    x = 6,513.93

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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.