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Finding the Fourth Proportional to 10,396.72, 14,347.83 and 5,681.31

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Solution

The fourth proportional to 10,396.72, 14,347.83 and 5,681.31 is: 7,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.72 : 14,347.83 = 5,681.31 : x
  2. Step 2: Convert to fraction form
    10,396.72/14,347.83 = 5,681.31/x
  3. Step 3: Cross multiply
    10,396.72x = 14,347.83 × 5,681.31
  4. Step 4: Simplify right side
    10,396.72x = 81,514,384.11
  5. Step 5: Solve for x
    x = 81,514,384.11/10,396.72
  6. Step 6: Final answer
    x = 7,840.39

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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.