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Finding the Fourth Proportional to 10,376, 14,320.08 and 5,900.42

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Solution

The fourth proportional to 10,376, 14,320.08 and 5,900.42 is: 8,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376 : 14,320.08 = 5,900.42 : x
  2. Step 2: Convert to fraction form
    10,376/14,320.08 = 5,900.42/x
  3. Step 3: Cross multiply
    10,376x = 14,320.08 × 5,900.42
  4. Step 4: Simplify right side
    10,376x = 84,494,486.43
  5. Step 5: Solve for x
    x = 84,494,486.43/10,376
  6. Step 6: Final answer
    x = 8,143.26

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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.