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Finding the Fourth Proportional to 10,573.89, 14,589.05 and 6,323.21

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Solution

The fourth proportional to 10,573.89, 14,589.05 and 6,323.21 is: 8,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.89 : 14,589.05 = 6,323.21 : x
  2. Step 2: Convert to fraction form
    10,573.89/14,589.05 = 6,323.21/x
  3. Step 3: Cross multiply
    10,573.89x = 14,589.05 × 6,323.21
  4. Step 4: Simplify right side
    10,573.89x = 92,249,595.23
  5. Step 5: Solve for x
    x = 92,249,595.23/10,573.89
  6. Step 6: Final answer
    x = 8,724.29

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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.