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Finding the Fourth Proportional to 7,902.42, 10,905.32 and 4,365.63

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Solution

The fourth proportional to 7,902.42, 10,905.32 and 4,365.63 is: 6,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.42 : 10,905.32 = 4,365.63 : x
  2. Step 2: Convert to fraction form
    7,902.42/10,905.32 = 4,365.63/x
  3. Step 3: Cross multiply
    7,902.42x = 10,905.32 × 4,365.63
  4. Step 4: Simplify right side
    7,902.42x = 47,608,570.32
  5. Step 5: Solve for x
    x = 47,608,570.32/7,902.42
  6. Step 6: Final answer
    x = 6,024.56

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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.