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Finding the Fourth Proportional to 8,282.57, 11,430.43 and 4,697.67

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Solution

The fourth proportional to 8,282.57, 11,430.43 and 4,697.67 is: 6,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.57 : 11,430.43 = 4,697.67 : x
  2. Step 2: Convert to fraction form
    8,282.57/11,430.43 = 4,697.67/x
  3. Step 3: Cross multiply
    8,282.57x = 11,430.43 × 4,697.67
  4. Step 4: Simplify right side
    8,282.57x = 53,696,336.03
  5. Step 5: Solve for x
    x = 53,696,336.03/8,282.57
  6. Step 6: Final answer
    x = 6,483.05

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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.