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Finding the Fourth Proportional to 11,802.98, 16,288.50 and 6,498.20

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Solution

The fourth proportional to 11,802.98, 16,288.50 and 6,498.20 is: 8,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.98 : 16,288.50 = 6,498.20 : x
  2. Step 2: Convert to fraction form
    11,802.98/16,288.50 = 6,498.20/x
  3. Step 3: Cross multiply
    11,802.98x = 16,288.50 × 6,498.20
  4. Step 4: Simplify right side
    11,802.98x = 105,845,930.70
  5. Step 5: Solve for x
    x = 105,845,930.70/11,802.98
  6. Step 6: Final answer
    x = 8,967.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.