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Finding the Fourth Proportional to 10,559.50, 14,563.97 and 7,371.74

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Solution

The fourth proportional to 10,559.50, 14,563.97 and 7,371.74 is: 10,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.50 : 14,563.97 = 7,371.74 : x
  2. Step 2: Convert to fraction form
    10,559.50/14,563.97 = 7,371.74/x
  3. Step 3: Cross multiply
    10,559.50x = 14,563.97 × 7,371.74
  4. Step 4: Simplify right side
    10,559.50x = 107,361,827.40
  5. Step 5: Solve for x
    x = 107,361,827.40/10,559.50
  6. Step 6: Final answer
    x = 10,167.32

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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.