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Finding the Fourth Proportional to 7,728.95, 10,658.09 and 6,613.58

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Solution

The fourth proportional to 7,728.95, 10,658.09 and 6,613.58 is: 9,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.95 : 10,658.09 = 6,613.58 : x
  2. Step 2: Convert to fraction form
    7,728.95/10,658.09 = 6,613.58/x
  3. Step 3: Cross multiply
    7,728.95x = 10,658.09 × 6,613.58
  4. Step 4: Simplify right side
    7,728.95x = 70,488,044.50
  5. Step 5: Solve for x
    x = 70,488,044.50/7,728.95
  6. Step 6: Final answer
    x = 9,120.01

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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.