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Finding the Fourth Proportional to 10,698.10, 16,047.92 and 3,301.60

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Solution

The fourth proportional to 10,698.10, 16,047.92 and 3,301.60 is: 4,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.10 : 16,047.92 = 3,301.60 : x
  2. Step 2: Convert to fraction form
    10,698.10/16,047.92 = 3,301.60/x
  3. Step 3: Cross multiply
    10,698.10x = 16,047.92 × 3,301.60
  4. Step 4: Simplify right side
    10,698.10x = 52,983,774.40
  5. Step 5: Solve for x
    x = 52,983,774.40/10,698.10
  6. Step 6: Final answer
    x = 4,952.63

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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.