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Finding the Fourth Proportional to 8,483.36, 11,706.72 and 4,757.12

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Solution

The fourth proportional to 8,483.36, 11,706.72 and 4,757.12 is: 6,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.36 : 11,706.72 = 4,757.12 : x
  2. Step 2: Convert to fraction form
    8,483.36/11,706.72 = 4,757.12/x
  3. Step 3: Cross multiply
    8,483.36x = 11,706.72 × 4,757.12
  4. Step 4: Simplify right side
    8,483.36x = 55,690,271.85
  5. Step 5: Solve for x
    x = 55,690,271.85/8,483.36
  6. Step 6: Final answer
    x = 6,564.65

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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.