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Finding the Fourth Proportional to 10,366.03, 14,304.09 and 5,828.23

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Solution

The fourth proportional to 10,366.03, 14,304.09 and 5,828.23 is: 8,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.03 : 14,304.09 = 5,828.23 : x
  2. Step 2: Convert to fraction form
    10,366.03/14,304.09 = 5,828.23/x
  3. Step 3: Cross multiply
    10,366.03x = 14,304.09 × 5,828.23
  4. Step 4: Simplify right side
    10,366.03x = 83,367,526.46
  5. Step 5: Solve for x
    x = 83,367,526.46/10,366.03
  6. Step 6: Final answer
    x = 8,042.38

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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.