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Finding the Fourth Proportional to 10,673.12, 14,711.28 and 7,135.04

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Solution

The fourth proportional to 10,673.12, 14,711.28 and 7,135.04 is: 9,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.12 : 14,711.28 = 7,135.04 : x
  2. Step 2: Convert to fraction form
    10,673.12/14,711.28 = 7,135.04/x
  3. Step 3: Cross multiply
    10,673.12x = 14,711.28 × 7,135.04
  4. Step 4: Simplify right side
    10,673.12x = 104,965,571.25
  5. Step 5: Solve for x
    x = 104,965,571.25/10,673.12
  6. Step 6: Final answer
    x = 9,834.57

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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.