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Finding the Fourth Proportional to 10,420.68, 14,380.56 and 5,640.63

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Solution

The fourth proportional to 10,420.68, 14,380.56 and 5,640.63 is: 7,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.68 : 14,380.56 = 5,640.63 : x
  2. Step 2: Convert to fraction form
    10,420.68/14,380.56 = 5,640.63/x
  3. Step 3: Cross multiply
    10,420.68x = 14,380.56 × 5,640.63
  4. Step 4: Simplify right side
    10,420.68x = 81,115,418.15
  5. Step 5: Solve for x
    x = 81,115,418.15/10,420.68
  6. Step 6: Final answer
    x = 7,784.08

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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.