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Finding the Fourth Proportional to 7,178.69, 9,902.46 and 4,485.24

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Solution

The fourth proportional to 7,178.69, 9,902.46 and 4,485.24 is: 6,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.69 : 9,902.46 = 4,485.24 : x
  2. Step 2: Convert to fraction form
    7,178.69/9,902.46 = 4,485.24/x
  3. Step 3: Cross multiply
    7,178.69x = 9,902.46 × 4,485.24
  4. Step 4: Simplify right side
    7,178.69x = 44,414,909.69
  5. Step 5: Solve for x
    x = 44,414,909.69/7,178.69
  6. Step 6: Final answer
    x = 6,187.05

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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.