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Finding the Fourth Proportional to 10,228.80, 14,107.32 and 6,033

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Solution

The fourth proportional to 10,228.80, 14,107.32 and 6,033 is: 8,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.80 : 14,107.32 = 6,033 : x
  2. Step 2: Convert to fraction form
    10,228.80/14,107.32 = 6,033/x
  3. Step 3: Cross multiply
    10,228.80x = 14,107.32 × 6,033
  4. Step 4: Simplify right side
    10,228.80x = 85,109,461.56
  5. Step 5: Solve for x
    x = 85,109,461.56/10,228.80
  6. Step 6: Final answer
    x = 8,320.57

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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.