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Finding the Fourth Proportional to 7,354.24, 10,149.24 and 4,210.90

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Solution

The fourth proportional to 7,354.24, 10,149.24 and 4,210.90 is: 5,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.24 : 10,149.24 = 4,210.90 : x
  2. Step 2: Convert to fraction form
    7,354.24/10,149.24 = 4,210.90/x
  3. Step 3: Cross multiply
    7,354.24x = 10,149.24 × 4,210.90
  4. Step 4: Simplify right side
    7,354.24x = 42,737,434.72
  5. Step 5: Solve for x
    x = 42,737,434.72/7,354.24
  6. Step 6: Final answer
    x = 5,811.26

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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.