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Finding the Fourth Proportional to 10,559.49, 14,571.95 and 5,843.67

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Solution

The fourth proportional to 10,559.49, 14,571.95 and 5,843.67 is: 8,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.49 : 14,571.95 = 5,843.67 : x
  2. Step 2: Convert to fraction form
    10,559.49/14,571.95 = 5,843.67/x
  3. Step 3: Cross multiply
    10,559.49x = 14,571.95 × 5,843.67
  4. Step 4: Simplify right side
    10,559.49x = 85,153,637.84
  5. Step 5: Solve for x
    x = 85,153,637.84/10,559.49
  6. Step 6: Final answer
    x = 8,064.18

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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.