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Finding the Fourth Proportional to 8,415.46, 11,615.43 and 4,880.80

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Solution

The fourth proportional to 8,415.46, 11,615.43 and 4,880.80 is: 6,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.46 : 11,615.43 = 4,880.80 : x
  2. Step 2: Convert to fraction form
    8,415.46/11,615.43 = 4,880.80/x
  3. Step 3: Cross multiply
    8,415.46x = 11,615.43 × 4,880.80
  4. Step 4: Simplify right side
    8,415.46x = 56,692,590.74
  5. Step 5: Solve for x
    x = 56,692,590.74/8,415.46
  6. Step 6: Final answer
    x = 6,736.72

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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.