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Finding the Fourth Proportional to 8,509.20, 11,740.88 and 4,970.82

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Solution

The fourth proportional to 8,509.20, 11,740.88 and 4,970.82 is: 6,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.20 : 11,740.88 = 4,970.82 : x
  2. Step 2: Convert to fraction form
    8,509.20/11,740.88 = 4,970.82/x
  3. Step 3: Cross multiply
    8,509.20x = 11,740.88 × 4,970.82
  4. Step 4: Simplify right side
    8,509.20x = 58,361,801.12
  5. Step 5: Solve for x
    x = 58,361,801.12/8,509.20
  6. Step 6: Final answer
    x = 6,858.67

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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.