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Finding the Fourth Proportional to 10,698.30, 16,049.16 and 3,301.02

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Solution

The fourth proportional to 10,698.30, 16,049.16 and 3,301.02 is: 4,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.30 : 16,049.16 = 3,301.02 : x
  2. Step 2: Convert to fraction form
    10,698.30/16,049.16 = 3,301.02/x
  3. Step 3: Cross multiply
    10,698.30x = 16,049.16 × 3,301.02
  4. Step 4: Simplify right side
    10,698.30x = 52,978,598.14
  5. Step 5: Solve for x
    x = 52,978,598.14/10,698.30
  6. Step 6: Final answer
    x = 4,952.06

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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.