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Finding the Fourth Proportional to 10,026.91, 13,827.67 and 7,480.29

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Solution

The fourth proportional to 10,026.91, 13,827.67 and 7,480.29 is: 10,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.91 : 13,827.67 = 7,480.29 : x
  2. Step 2: Convert to fraction form
    10,026.91/13,827.67 = 7,480.29/x
  3. Step 3: Cross multiply
    10,026.91x = 13,827.67 × 7,480.29
  4. Step 4: Simplify right side
    10,026.91x = 103,434,981.62
  5. Step 5: Solve for x
    x = 103,434,981.62/10,026.91
  6. Step 6: Final answer
    x = 10,315.74

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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.