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Finding the Fourth Proportional to 10,698.24, 16,045.84 and 3,302.12

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Solution

The fourth proportional to 10,698.24, 16,045.84 and 3,302.12 is: 4,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.24 : 16,045.84 = 3,302.12 : x
  2. Step 2: Convert to fraction form
    10,698.24/16,045.84 = 3,302.12/x
  3. Step 3: Cross multiply
    10,698.24x = 16,045.84 × 3,302.12
  4. Step 4: Simplify right side
    10,698.24x = 52,985,289.18
  5. Step 5: Solve for x
    x = 52,985,289.18/10,698.24
  6. Step 6: Final answer
    x = 4,952.71

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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.