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Finding the Fourth Proportional to 10,358.11, 14,294.19 and 5,642.39

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Solution

The fourth proportional to 10,358.11, 14,294.19 and 5,642.39 is: 7,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.11 : 14,294.19 = 5,642.39 : x
  2. Step 2: Convert to fraction form
    10,358.11/14,294.19 = 5,642.39/x
  3. Step 3: Cross multiply
    10,358.11x = 14,294.19 × 5,642.39
  4. Step 4: Simplify right side
    10,358.11x = 80,653,394.71
  5. Step 5: Solve for x
    x = 80,653,394.71/10,358.11
  6. Step 6: Final answer
    x = 7,786.50

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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.