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Finding the Fourth Proportional to 11,701.84, 16,148.58 and 6,396.74

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Solution

The fourth proportional to 11,701.84, 16,148.58 and 6,396.74 is: 8,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.84 : 16,148.58 = 6,396.74 : x
  2. Step 2: Convert to fraction form
    11,701.84/16,148.58 = 6,396.74/x
  3. Step 3: Cross multiply
    11,701.84x = 16,148.58 × 6,396.74
  4. Step 4: Simplify right side
    11,701.84x = 103,298,308.00
  5. Step 5: Solve for x
    x = 103,298,308.00/11,701.84
  6. Step 6: Final answer
    x = 8,827.53

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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.