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Finding the Fourth Proportional to 10,367.34, 14,306.93 and 6,118.40

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Solution

The fourth proportional to 10,367.34, 14,306.93 and 6,118.40 is: 8,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.34 : 14,306.93 = 6,118.40 : x
  2. Step 2: Convert to fraction form
    10,367.34/14,306.93 = 6,118.40/x
  3. Step 3: Cross multiply
    10,367.34x = 14,306.93 × 6,118.40
  4. Step 4: Simplify right side
    10,367.34x = 87,535,520.51
  5. Step 5: Solve for x
    x = 87,535,520.51/10,367.34
  6. Step 6: Final answer
    x = 8,443.39

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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.