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Finding the Fourth Proportional to 11,806.54, 16,292.04 and 6,501.64

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Solution

The fourth proportional to 11,806.54, 16,292.04 and 6,501.64 is: 8,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.54 : 16,292.04 = 6,501.64 : x
  2. Step 2: Convert to fraction form
    11,806.54/16,292.04 = 6,501.64/x
  3. Step 3: Cross multiply
    11,806.54x = 16,292.04 × 6,501.64
  4. Step 4: Simplify right side
    11,806.54x = 105,924,978.95
  5. Step 5: Solve for x
    x = 105,924,978.95/11,806.54
  6. Step 6: Final answer
    x = 8,971.72

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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.