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Finding the Fourth Proportional to 10,370.61, 14,310.98 and 5,833.05

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Solution

The fourth proportional to 10,370.61, 14,310.98 and 5,833.05 is: 8,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.61 : 14,310.98 = 5,833.05 : x
  2. Step 2: Convert to fraction form
    10,370.61/14,310.98 = 5,833.05/x
  3. Step 3: Cross multiply
    10,370.61x = 14,310.98 × 5,833.05
  4. Step 4: Simplify right side
    10,370.61x = 83,476,632.72
  5. Step 5: Solve for x
    x = 83,476,632.72/10,370.61
  6. Step 6: Final answer
    x = 8,049.35

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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.