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Finding the Fourth Proportional to 10,520.94, 14,518.62 and 5,805.21

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Solution

The fourth proportional to 10,520.94, 14,518.62 and 5,805.21 is: 8,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.94 : 14,518.62 = 5,805.21 : x
  2. Step 2: Convert to fraction form
    10,520.94/14,518.62 = 5,805.21/x
  3. Step 3: Cross multiply
    10,520.94x = 14,518.62 × 5,805.21
  4. Step 4: Simplify right side
    10,520.94x = 84,283,638.01
  5. Step 5: Solve for x
    x = 84,283,638.01/10,520.94
  6. Step 6: Final answer
    x = 8,011.04

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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.