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Finding the Fourth Proportional to 11,662.16, 16,084.68 and 7,470.80

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Solution

The fourth proportional to 11,662.16, 16,084.68 and 7,470.80 is: 10,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.16 : 16,084.68 = 7,470.80 : x
  2. Step 2: Convert to fraction form
    11,662.16/16,084.68 = 7,470.80/x
  3. Step 3: Cross multiply
    11,662.16x = 16,084.68 × 7,470.80
  4. Step 4: Simplify right side
    11,662.16x = 120,165,427.34
  5. Step 5: Solve for x
    x = 120,165,427.34/11,662.16
  6. Step 6: Final answer
    x = 10,303.87

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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.