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Finding the Fourth Proportional to 7,330.61, 10,116 and 4,186.80

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Solution

The fourth proportional to 7,330.61, 10,116 and 4,186.80 is: 5,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.61 : 10,116 = 4,186.80 : x
  2. Step 2: Convert to fraction form
    7,330.61/10,116 = 4,186.80/x
  3. Step 3: Cross multiply
    7,330.61x = 10,116 × 4,186.80
  4. Step 4: Simplify right side
    7,330.61x = 42,353,668.80
  5. Step 5: Solve for x
    x = 42,353,668.80/7,330.61
  6. Step 6: Final answer
    x = 5,777.65

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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.