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Finding the Fourth Proportional to 11,721.74, 16,176 and 6,416.58

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Solution

The fourth proportional to 11,721.74, 16,176 and 6,416.58 is: 8,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721.74 : 16,176 = 6,416.58 : x
  2. Step 2: Convert to fraction form
    11,721.74/16,176 = 6,416.58/x
  3. Step 3: Cross multiply
    11,721.74x = 16,176 × 6,416.58
  4. Step 4: Simplify right side
    11,721.74x = 103,794,598.08
  5. Step 5: Solve for x
    x = 103,794,598.08/11,721.74
  6. Step 6: Final answer
    x = 8,854.88

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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.