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Finding the Fourth Proportional to 10,344.67, 14,275.83 and 5,629.03

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Solution

The fourth proportional to 10,344.67, 14,275.83 and 5,629.03 is: 7,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.67 : 14,275.83 = 5,629.03 : x
  2. Step 2: Convert to fraction form
    10,344.67/14,275.83 = 5,629.03/x
  3. Step 3: Cross multiply
    10,344.67x = 14,275.83 × 5,629.03
  4. Step 4: Simplify right side
    10,344.67x = 80,359,075.34
  5. Step 5: Solve for x
    x = 80,359,075.34/10,344.67
  6. Step 6: Final answer
    x = 7,768.16

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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.