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Finding the Fourth Proportional to 11,670, 16,104.78 and 6,364.95

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Solution

The fourth proportional to 11,670, 16,104.78 and 6,364.95 is: 8,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670 : 16,104.78 = 6,364.95 : x
  2. Step 2: Convert to fraction form
    11,670/16,104.78 = 6,364.95/x
  3. Step 3: Cross multiply
    11,670x = 16,104.78 × 6,364.95
  4. Step 4: Simplify right side
    11,670x = 102,506,119.46
  5. Step 5: Solve for x
    x = 102,506,119.46/11,670
  6. Step 6: Final answer
    x = 8,783.73

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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.