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Finding the Fourth Proportional to 11,802.98, 16,288.22 and 6,497.82

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Solution

The fourth proportional to 11,802.98, 16,288.22 and 6,497.82 is: 8,967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.98 : 16,288.22 = 6,497.82 : x
  2. Step 2: Convert to fraction form
    11,802.98/16,288.22 = 6,497.82/x
  3. Step 3: Cross multiply
    11,802.98x = 16,288.22 × 6,497.82
  4. Step 4: Simplify right side
    11,802.98x = 105,837,937.92
  5. Step 5: Solve for x
    x = 105,837,937.92/11,802.98
  6. Step 6: Final answer
    x = 8,967.05

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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.