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Finding the Fourth Proportional to 11,956.41, 16,490.02 and 10,613

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Solution

The fourth proportional to 11,956.41, 16,490.02 and 10,613 is: 14,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.41 : 16,490.02 = 10,613 : x
  2. Step 2: Convert to fraction form
    11,956.41/16,490.02 = 10,613/x
  3. Step 3: Cross multiply
    11,956.41x = 16,490.02 × 10,613
  4. Step 4: Simplify right side
    11,956.41x = 175,008,582.26
  5. Step 5: Solve for x
    x = 175,008,582.26/11,956.41
  6. Step 6: Final answer
    x = 14,637.22

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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.