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Finding the Fourth Proportional to 10,176.36, 14,040.18 and 5,699.40

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Solution

The fourth proportional to 10,176.36, 14,040.18 and 5,699.40 is: 7,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.36 : 14,040.18 = 5,699.40 : x
  2. Step 2: Convert to fraction form
    10,176.36/14,040.18 = 5,699.40/x
  3. Step 3: Cross multiply
    10,176.36x = 14,040.18 × 5,699.40
  4. Step 4: Simplify right side
    10,176.36x = 80,020,601.89
  5. Step 5: Solve for x
    x = 80,020,601.89/10,176.36
  6. Step 6: Final answer
    x = 7,863.38

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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.