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Finding the Fourth Proportional to 10,173.53, 14,013.41 and 7,184.09

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Solution

The fourth proportional to 10,173.53, 14,013.41 and 7,184.09 is: 9,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.53 : 14,013.41 = 7,184.09 : x
  2. Step 2: Convert to fraction form
    10,173.53/14,013.41 = 7,184.09/x
  3. Step 3: Cross multiply
    10,173.53x = 14,013.41 × 7,184.09
  4. Step 4: Simplify right side
    10,173.53x = 100,673,597.76
  5. Step 5: Solve for x
    x = 100,673,597.76/10,173.53
  6. Step 6: Final answer
    x = 9,895.64

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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.