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Finding the Fourth Proportional to 8,658.68, 11,946.32 and 5,297.94

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Solution

The fourth proportional to 8,658.68, 11,946.32 and 5,297.94 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.68 : 11,946.32 = 5,297.94 : x
  2. Step 2: Convert to fraction form
    8,658.68/11,946.32 = 5,297.94/x
  3. Step 3: Cross multiply
    8,658.68x = 11,946.32 × 5,297.94
  4. Step 4: Simplify right side
    8,658.68x = 63,290,886.58
  5. Step 5: Solve for x
    x = 63,290,886.58/8,658.68
  6. Step 6: Final answer
    x = 7,309.53

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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.