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Finding the Fourth Proportional to 10,367.69, 14,306.99 and 5,830.25

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Solution

The fourth proportional to 10,367.69, 14,306.99 and 5,830.25 is: 8,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.69 : 14,306.99 = 5,830.25 : x
  2. Step 2: Convert to fraction form
    10,367.69/14,306.99 = 5,830.25/x
  3. Step 3: Cross multiply
    10,367.69x = 14,306.99 × 5,830.25
  4. Step 4: Simplify right side
    10,367.69x = 83,413,227.76
  5. Step 5: Solve for x
    x = 83,413,227.76/10,367.69
  6. Step 6: Final answer
    x = 8,045.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.