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Finding the Fourth Proportional to 11,096.63, 16,649.81 and 5,830.41

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Solution

The fourth proportional to 11,096.63, 16,649.81 and 5,830.41 is: 8,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.63 : 16,649.81 = 5,830.41 : x
  2. Step 2: Convert to fraction form
    11,096.63/16,649.81 = 5,830.41/x
  3. Step 3: Cross multiply
    11,096.63x = 16,649.81 × 5,830.41
  4. Step 4: Simplify right side
    11,096.63x = 97,075,218.72
  5. Step 5: Solve for x
    x = 97,075,218.72/11,096.63
  6. Step 6: Final answer
    x = 8,748.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.