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Finding the Fourth Proportional to 10,549.89, 14,559 and 5,834.16

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Solution

The fourth proportional to 10,549.89, 14,559 and 5,834.16 is: 8,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.89 : 14,559 = 5,834.16 : x
  2. Step 2: Convert to fraction form
    10,549.89/14,559 = 5,834.16/x
  3. Step 3: Cross multiply
    10,549.89x = 14,559 × 5,834.16
  4. Step 4: Simplify right side
    10,549.89x = 84,939,535.44
  5. Step 5: Solve for x
    x = 84,939,535.44/10,549.89
  6. Step 6: Final answer
    x = 8,051.22

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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.