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Finding the Fourth Proportional to 10,833.45, 14,950.16 and 6,118.03

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Solution

The fourth proportional to 10,833.45, 14,950.16 and 6,118.03 is: 8,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.45 : 14,950.16 = 6,118.03 : x
  2. Step 2: Convert to fraction form
    10,833.45/14,950.16 = 6,118.03/x
  3. Step 3: Cross multiply
    10,833.45x = 14,950.16 × 6,118.03
  4. Step 4: Simplify right side
    10,833.45x = 91,465,527.38
  5. Step 5: Solve for x
    x = 91,465,527.38/10,833.45
  6. Step 6: Final answer
    x = 8,442.88

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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.