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Finding the Fourth Proportional to 8,415.82, 11,613.34 and 4,829.95

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Solution

The fourth proportional to 8,415.82, 11,613.34 and 4,829.95 is: 6,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.82 : 11,613.34 = 4,829.95 : x
  2. Step 2: Convert to fraction form
    8,415.82/11,613.34 = 4,829.95/x
  3. Step 3: Cross multiply
    8,415.82x = 11,613.34 × 4,829.95
  4. Step 4: Simplify right side
    8,415.82x = 56,091,872.09
  5. Step 5: Solve for x
    x = 56,091,872.09/8,415.82
  6. Step 6: Final answer
    x = 6,665.05

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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.