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Finding the Fourth Proportional to 8,257.35, 11,392.36 and 4,718.06

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Solution

The fourth proportional to 8,257.35, 11,392.36 and 4,718.06 is: 6,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.35 : 11,392.36 = 4,718.06 : x
  2. Step 2: Convert to fraction form
    8,257.35/11,392.36 = 4,718.06/x
  3. Step 3: Cross multiply
    8,257.35x = 11,392.36 × 4,718.06
  4. Step 4: Simplify right side
    8,257.35x = 53,749,838.02
  5. Step 5: Solve for x
    x = 53,749,838.02/8,257.35
  6. Step 6: Final answer
    x = 6,509.33

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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.