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Finding the Fourth Proportional to 11,628.61, 16,047.57 and 6,323.62

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Solution

The fourth proportional to 11,628.61, 16,047.57 and 6,323.62 is: 8,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.61 : 16,047.57 = 6,323.62 : x
  2. Step 2: Convert to fraction form
    11,628.61/16,047.57 = 6,323.62/x
  3. Step 3: Cross multiply
    11,628.61x = 16,047.57 × 6,323.62
  4. Step 4: Simplify right side
    11,628.61x = 101,478,712.72
  5. Step 5: Solve for x
    x = 101,478,712.72/11,628.61
  6. Step 6: Final answer
    x = 8,726.64

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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.