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Finding the Fourth Proportional to 10,395, 14,343.48 and 5,918.96

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Solution

The fourth proportional to 10,395, 14,343.48 and 5,918.96 is: 8,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 14,343.48 = 5,918.96 : x
  2. Step 2: Convert to fraction form
    10,395/14,343.48 = 5,918.96/x
  3. Step 3: Cross multiply
    10,395x = 14,343.48 × 5,918.96
  4. Step 4: Simplify right side
    10,395x = 84,898,484.38
  5. Step 5: Solve for x
    x = 84,898,484.38/10,395
  6. Step 6: Final answer
    x = 8,167.24

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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.