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Finding the Fourth Proportional to 6,415.14, 8,853.48 and 5,072.55

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Solution

The fourth proportional to 6,415.14, 8,853.48 and 5,072.55 is: 7,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.14 : 8,853.48 = 5,072.55 : x
  2. Step 2: Convert to fraction form
    6,415.14/8,853.48 = 5,072.55/x
  3. Step 3: Cross multiply
    6,415.14x = 8,853.48 × 5,072.55
  4. Step 4: Simplify right side
    6,415.14x = 44,909,719.97
  5. Step 5: Solve for x
    x = 44,909,719.97/6,415.14
  6. Step 6: Final answer
    x = 7,000.58

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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.