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Finding the Fourth Proportional to 10,551.72, 14,559.42 and 6,823.56

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Solution

The fourth proportional to 10,551.72, 14,559.42 and 6,823.56 is: 9,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.72 : 14,559.42 = 6,823.56 : x
  2. Step 2: Convert to fraction form
    10,551.72/14,559.42 = 6,823.56/x
  3. Step 3: Cross multiply
    10,551.72x = 14,559.42 × 6,823.56
  4. Step 4: Simplify right side
    10,551.72x = 99,347,075.94
  5. Step 5: Solve for x
    x = 99,347,075.94/10,551.72
  6. Step 6: Final answer
    x = 9,415.25

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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.