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Finding the Fourth Proportional to 8,195.68, 11,308.57 and 4,658.68

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Solution

The fourth proportional to 8,195.68, 11,308.57 and 4,658.68 is: 6,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.68 : 11,308.57 = 4,658.68 : x
  2. Step 2: Convert to fraction form
    8,195.68/11,308.57 = 4,658.68/x
  3. Step 3: Cross multiply
    8,195.68x = 11,308.57 × 4,658.68
  4. Step 4: Simplify right side
    8,195.68x = 52,683,008.89
  5. Step 5: Solve for x
    x = 52,683,008.89/8,195.68
  6. Step 6: Final answer
    x = 6,428.14

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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.