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Finding the Fourth Proportional to 11,812.45, 16,302.10 and 6,508.22

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Solution

The fourth proportional to 11,812.45, 16,302.10 and 6,508.22 is: 8,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.45 : 16,302.10 = 6,508.22 : x
  2. Step 2: Convert to fraction form
    11,812.45/16,302.10 = 6,508.22/x
  3. Step 3: Cross multiply
    11,812.45x = 16,302.10 × 6,508.22
  4. Step 4: Simplify right side
    11,812.45x = 106,097,653.26
  5. Step 5: Solve for x
    x = 106,097,653.26/11,812.45
  6. Step 6: Final answer
    x = 8,981.85

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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.