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Finding the Fourth Proportional to 11,604, 16,013.44 and 6,298.96

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Solution

The fourth proportional to 11,604, 16,013.44 and 6,298.96 is: 8,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604 : 16,013.44 = 6,298.96 : x
  2. Step 2: Convert to fraction form
    11,604/16,013.44 = 6,298.96/x
  3. Step 3: Cross multiply
    11,604x = 16,013.44 × 6,298.96
  4. Step 4: Simplify right side
    11,604x = 100,868,018.02
  5. Step 5: Solve for x
    x = 100,868,018.02/11,604
  6. Step 6: Final answer
    x = 8,692.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.