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Finding the Fourth Proportional to 10,006.89, 13,814.09 and 7,137.82

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Solution

The fourth proportional to 10,006.89, 13,814.09 and 7,137.82 is: 9,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.89 : 13,814.09 = 7,137.82 : x
  2. Step 2: Convert to fraction form
    10,006.89/13,814.09 = 7,137.82/x
  3. Step 3: Cross multiply
    10,006.89x = 13,814.09 × 7,137.82
  4. Step 4: Simplify right side
    10,006.89x = 98,602,536.38
  5. Step 5: Solve for x
    x = 98,602,536.38/10,006.89
  6. Step 6: Final answer
    x = 9,853.46

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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.