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Finding the Fourth Proportional to 11,899.47, 16,416.92 and 7,119.55

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Solution

The fourth proportional to 11,899.47, 16,416.92 and 7,119.55 is: 9,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.47 : 16,416.92 = 7,119.55 : x
  2. Step 2: Convert to fraction form
    11,899.47/16,416.92 = 7,119.55/x
  3. Step 3: Cross multiply
    11,899.47x = 16,416.92 × 7,119.55
  4. Step 4: Simplify right side
    11,899.47x = 116,881,082.79
  5. Step 5: Solve for x
    x = 116,881,082.79/11,899.47
  6. Step 6: Final answer
    x = 9,822.38

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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.