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Finding the Fourth Proportional to 10,574.54, 15,858.97 and 3,177.35

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Solution

The fourth proportional to 10,574.54, 15,858.97 and 3,177.35 is: 4,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.54 : 15,858.97 = 3,177.35 : x
  2. Step 2: Convert to fraction form
    10,574.54/15,858.97 = 3,177.35/x
  3. Step 3: Cross multiply
    10,574.54x = 15,858.97 × 3,177.35
  4. Step 4: Simplify right side
    10,574.54x = 50,389,411.09
  5. Step 5: Solve for x
    x = 50,389,411.09/10,574.54
  6. Step 6: Final answer
    x = 4,765.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.