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Finding the Fourth Proportional to 11,415.34, 17,123.03 and 3,624.16

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Solution

The fourth proportional to 11,415.34, 17,123.03 and 3,624.16 is: 5,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.34 : 17,123.03 = 3,624.16 : x
  2. Step 2: Convert to fraction form
    11,415.34/17,123.03 = 3,624.16/x
  3. Step 3: Cross multiply
    11,415.34x = 17,123.03 × 3,624.16
  4. Step 4: Simplify right side
    11,415.34x = 62,056,600.40
  5. Step 5: Solve for x
    x = 62,056,600.40/11,415.34
  6. Step 6: Final answer
    x = 5,436.25

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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.