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Finding the Fourth Proportional to 10,698.48, 16,045.98 and 3,201.93

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Solution

The fourth proportional to 10,698.48, 16,045.98 and 3,201.93 is: 4,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 16,045.98 = 3,201.93 : x
  2. Step 2: Convert to fraction form
    10,698.48/16,045.98 = 3,201.93/x
  3. Step 3: Cross multiply
    10,698.48x = 16,045.98 × 3,201.93
  4. Step 4: Simplify right side
    10,698.48x = 51,378,104.74
  5. Step 5: Solve for x
    x = 51,378,104.74/10,698.48
  6. Step 6: Final answer
    x = 4,802.37

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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.