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Finding the Fourth Proportional to 10,573.41, 14,591.14 and 5,793.32

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Solution

The fourth proportional to 10,573.41, 14,591.14 and 5,793.32 is: 7,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.41 : 14,591.14 = 5,793.32 : x
  2. Step 2: Convert to fraction form
    10,573.41/14,591.14 = 5,793.32/x
  3. Step 3: Cross multiply
    10,573.41x = 14,591.14 × 5,793.32
  4. Step 4: Simplify right side
    10,573.41x = 84,531,070.23
  5. Step 5: Solve for x
    x = 84,531,070.23/10,573.41
  6. Step 6: Final answer
    x = 7,994.68

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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.