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Finding the Fourth Proportional to 8,336.59, 11,491.14 and 5,646.98

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Solution

The fourth proportional to 8,336.59, 11,491.14 and 5,646.98 is: 7,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.59 : 11,491.14 = 5,646.98 : x
  2. Step 2: Convert to fraction form
    8,336.59/11,491.14 = 5,646.98/x
  3. Step 3: Cross multiply
    8,336.59x = 11,491.14 × 5,646.98
  4. Step 4: Simplify right side
    8,336.59x = 64,890,237.76
  5. Step 5: Solve for x
    x = 64,890,237.76/8,336.59
  6. Step 6: Final answer
    x = 7,783.79

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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.