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Finding the Fourth Proportional to 10,153.49, 14,011.97 and 5,677.22

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Solution

The fourth proportional to 10,153.49, 14,011.97 and 5,677.22 is: 7,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.49 : 14,011.97 = 5,677.22 : x
  2. Step 2: Convert to fraction form
    10,153.49/14,011.97 = 5,677.22/x
  3. Step 3: Cross multiply
    10,153.49x = 14,011.97 × 5,677.22
  4. Step 4: Simplify right side
    10,153.49x = 79,548,937.88
  5. Step 5: Solve for x
    x = 79,548,937.88/10,153.49
  6. Step 6: Final answer
    x = 7,834.64

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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.