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Finding the Fourth Proportional to 11,235.54, 16,855.48 and 4,309.50

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Solution

The fourth proportional to 11,235.54, 16,855.48 and 4,309.50 is: 6,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.54 : 16,855.48 = 4,309.50 : x
  2. Step 2: Convert to fraction form
    11,235.54/16,855.48 = 4,309.50/x
  3. Step 3: Cross multiply
    11,235.54x = 16,855.48 × 4,309.50
  4. Step 4: Simplify right side
    11,235.54x = 72,638,680.29
  5. Step 5: Solve for x
    x = 72,638,680.29/11,235.54
  6. Step 6: Final answer
    x = 6,465.08

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Why These Related Problems?

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