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Finding the Fourth Proportional to 8,511.42, 11,747.13 and 4,973.94

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Solution

The fourth proportional to 8,511.42, 11,747.13 and 4,973.94 is: 6,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.42 : 11,747.13 = 4,973.94 : x
  2. Step 2: Convert to fraction form
    8,511.42/11,747.13 = 4,973.94/x
  3. Step 3: Cross multiply
    8,511.42x = 11,747.13 × 4,973.94
  4. Step 4: Simplify right side
    8,511.42x = 58,429,519.79
  5. Step 5: Solve for x
    x = 58,429,519.79/8,511.42
  6. Step 6: Final answer
    x = 6,864.84

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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.