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Finding the Fourth Proportional to 7,242.58, 10,862.22 and 2,048.86

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Solution

The fourth proportional to 7,242.58, 10,862.22 and 2,048.86 is: 3,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.58 : 10,862.22 = 2,048.86 : x
  2. Step 2: Convert to fraction form
    7,242.58/10,862.22 = 2,048.86/x
  3. Step 3: Cross multiply
    7,242.58x = 10,862.22 × 2,048.86
  4. Step 4: Simplify right side
    7,242.58x = 22,255,168.07
  5. Step 5: Solve for x
    x = 22,255,168.07/7,242.58
  6. Step 6: Final answer
    x = 3,072.82

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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.