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Finding the Fourth Proportional to 11,721.65, 16,176.06 and 6,416.37

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Solution

The fourth proportional to 11,721.65, 16,176.06 and 6,416.37 is: 8,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.65 : 16,176.06 = 6,416.37 : x
  2. Step 2: Convert to fraction form
    11,721.65/16,176.06 = 6,416.37/x
  3. Step 3: Cross multiply
    11,721.65x = 16,176.06 × 6,416.37
  4. Step 4: Simplify right side
    11,721.65x = 103,791,586.10
  5. Step 5: Solve for x
    x = 103,791,586.10/11,721.65
  6. Step 6: Final answer
    x = 8,854.69

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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.