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Finding the Fourth Proportional to 10,574.75, 15,862.38 and 3,554.86

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Solution

The fourth proportional to 10,574.75, 15,862.38 and 3,554.86 is: 5,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.75 : 15,862.38 = 3,554.86 : x
  2. Step 2: Convert to fraction form
    10,574.75/15,862.38 = 3,554.86/x
  3. Step 3: Cross multiply
    10,574.75x = 15,862.38 × 3,554.86
  4. Step 4: Simplify right side
    10,574.75x = 56,388,460.85
  5. Step 5: Solve for x
    x = 56,388,460.85/10,574.75
  6. Step 6: Final answer
    x = 5,332.37

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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.