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Finding the Fourth Proportional to 11,806.38, 16,292.47 and 6,501.22

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Solution

The fourth proportional to 11,806.38, 16,292.47 and 6,501.22 is: 8,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.38 : 16,292.47 = 6,501.22 : x
  2. Step 2: Convert to fraction form
    11,806.38/16,292.47 = 6,501.22/x
  3. Step 3: Cross multiply
    11,806.38x = 16,292.47 × 6,501.22
  4. Step 4: Simplify right side
    11,806.38x = 105,920,931.81
  5. Step 5: Solve for x
    x = 105,920,931.81/11,806.38
  6. Step 6: Final answer
    x = 8,971.50

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Why These Related Problems?

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