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Finding the Fourth Proportional to 11,678.63, 16,118.70 and 7,314.98

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Solution

The fourth proportional to 11,678.63, 16,118.70 and 7,314.98 is: 10,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.63 : 16,118.70 = 7,314.98 : x
  2. Step 2: Convert to fraction form
    11,678.63/16,118.70 = 7,314.98/x
  3. Step 3: Cross multiply
    11,678.63x = 16,118.70 × 7,314.98
  4. Step 4: Simplify right side
    11,678.63x = 117,907,887.53
  5. Step 5: Solve for x
    x = 117,907,887.53/11,678.63
  6. Step 6: Final answer
    x = 10,096.04

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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.