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Finding the Fourth Proportional to 11,953.82, 16,492.02 and 7,483.16

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Solution

The fourth proportional to 11,953.82, 16,492.02 and 7,483.16 is: 10,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.82 : 16,492.02 = 7,483.16 : x
  2. Step 2: Convert to fraction form
    11,953.82/16,492.02 = 7,483.16/x
  3. Step 3: Cross multiply
    11,953.82x = 16,492.02 × 7,483.16
  4. Step 4: Simplify right side
    11,953.82x = 123,412,424.38
  5. Step 5: Solve for x
    x = 123,412,424.38/11,953.82
  6. Step 6: Final answer
    x = 10,324.10

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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.