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Finding the Fourth Proportional to 10,037.79, 13,850.73 and 5,561.80

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Solution

The fourth proportional to 10,037.79, 13,850.73 and 5,561.80 is: 7,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.79 : 13,850.73 = 5,561.80 : x
  2. Step 2: Convert to fraction form
    10,037.79/13,850.73 = 5,561.80/x
  3. Step 3: Cross multiply
    10,037.79x = 13,850.73 × 5,561.80
  4. Step 4: Simplify right side
    10,037.79x = 77,034,955.49
  5. Step 5: Solve for x
    x = 77,034,955.49/10,037.79
  6. Step 6: Final answer
    x = 7,674.49

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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.