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Finding the Fourth Proportional to 11,166.42, 16,738.28 and 4,929.82

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Solution

The fourth proportional to 11,166.42, 16,738.28 and 4,929.82 is: 7,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.42 : 16,738.28 = 4,929.82 : x
  2. Step 2: Convert to fraction form
    11,166.42/16,738.28 = 4,929.82/x
  3. Step 3: Cross multiply
    11,166.42x = 16,738.28 × 4,929.82
  4. Step 4: Simplify right side
    11,166.42x = 82,516,707.51
  5. Step 5: Solve for x
    x = 82,516,707.51/11,166.42
  6. Step 6: Final answer
    x = 7,389.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.