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Finding the Fourth Proportional to 10,283.69, 14,191.38 and 5,807.45

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Solution

The fourth proportional to 10,283.69, 14,191.38 and 5,807.45 is: 8,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.69 : 14,191.38 = 5,807.45 : x
  2. Step 2: Convert to fraction form
    10,283.69/14,191.38 = 5,807.45/x
  3. Step 3: Cross multiply
    10,283.69x = 14,191.38 × 5,807.45
  4. Step 4: Simplify right side
    10,283.69x = 82,415,658.82
  5. Step 5: Solve for x
    x = 82,415,658.82/10,283.69
  6. Step 6: Final answer
    x = 8,014.21

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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.