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Finding the Fourth Proportional to 11,235.63, 16,853.84 and 4,214.93

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Solution

The fourth proportional to 11,235.63, 16,853.84 and 4,214.93 is: 6,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.63 : 16,853.84 = 4,214.93 : x
  2. Step 2: Convert to fraction form
    11,235.63/16,853.84 = 4,214.93/x
  3. Step 3: Cross multiply
    11,235.63x = 16,853.84 × 4,214.93
  4. Step 4: Simplify right side
    11,235.63x = 71,037,650.49
  5. Step 5: Solve for x
    x = 71,037,650.49/11,235.63
  6. Step 6: Final answer
    x = 6,322.53

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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.