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Finding the Fourth Proportional to 11,806.32, 16,292.83 and 6,501.16

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Solution

The fourth proportional to 11,806.32, 16,292.83 and 6,501.16 is: 8,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.32 : 16,292.83 = 6,501.16 : x
  2. Step 2: Convert to fraction form
    11,806.32/16,292.83 = 6,501.16/x
  3. Step 3: Cross multiply
    11,806.32x = 16,292.83 × 6,501.16
  4. Step 4: Simplify right side
    11,806.32x = 105,922,213.22
  5. Step 5: Solve for x
    x = 105,922,213.22/11,806.32
  6. Step 6: Final answer
    x = 8,971.65

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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.