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Finding the Fourth Proportional to 10,367.33, 14,307.28 and 5,890.93

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Solution

The fourth proportional to 10,367.33, 14,307.28 and 5,890.93 is: 8,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.33 : 14,307.28 = 5,890.93 : x
  2. Step 2: Convert to fraction form
    10,367.33/14,307.28 = 5,890.93/x
  3. Step 3: Cross multiply
    10,367.33x = 14,307.28 × 5,890.93
  4. Step 4: Simplify right side
    10,367.33x = 84,283,134.47
  5. Step 5: Solve for x
    x = 84,283,134.47/10,367.33
  6. Step 6: Final answer
    x = 8,129.69

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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.