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Finding the Fourth Proportional to 11,886.70, 16,434.96 and 10,410.48

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Solution

The fourth proportional to 11,886.70, 16,434.96 and 10,410.48 is: 14,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.70 : 16,434.96 = 10,410.48 : x
  2. Step 2: Convert to fraction form
    11,886.70/16,434.96 = 10,410.48/x
  3. Step 3: Cross multiply
    11,886.70x = 16,434.96 × 10,410.48
  4. Step 4: Simplify right side
    11,886.70x = 171,095,822.38
  5. Step 5: Solve for x
    x = 171,095,822.38/11,886.70
  6. Step 6: Final answer
    x = 14,393.89

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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.