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Finding the Fourth Proportional to 10,318.14, 14,239.10 and 5,602.42

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Solution

The fourth proportional to 10,318.14, 14,239.10 and 5,602.42 is: 7,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.14 : 14,239.10 = 5,602.42 : x
  2. Step 2: Convert to fraction form
    10,318.14/14,239.10 = 5,602.42/x
  3. Step 3: Cross multiply
    10,318.14x = 14,239.10 × 5,602.42
  4. Step 4: Simplify right side
    10,318.14x = 79,773,418.62
  5. Step 5: Solve for x
    x = 79,773,418.62/10,318.14
  6. Step 6: Final answer
    x = 7,731.38

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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.