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Finding the Fourth Proportional to 10,698.72, 16,045.32 and 3,200.80

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Solution

The fourth proportional to 10,698.72, 16,045.32 and 3,200.80 is: 4,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.72 : 16,045.32 = 3,200.80 : x
  2. Step 2: Convert to fraction form
    10,698.72/16,045.32 = 3,200.80/x
  3. Step 3: Cross multiply
    10,698.72x = 16,045.32 × 3,200.80
  4. Step 4: Simplify right side
    10,698.72x = 51,357,860.26
  5. Step 5: Solve for x
    x = 51,357,860.26/10,698.72
  6. Step 6: Final answer
    x = 4,800.37

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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.