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Finding the Fourth Proportional to 10,574.00, 14,591.54 and 5,793.05

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Solution

The fourth proportional to 10,574.00, 14,591.54 and 5,793.05 is: 7,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.00 : 14,591.54 = 5,793.05 : x
  2. Step 2: Convert to fraction form
    10,574.00/14,591.54 = 5,793.05/x
  3. Step 3: Cross multiply
    10,574.00x = 14,591.54 × 5,793.05
  4. Step 4: Simplify right side
    10,574.00x = 84,529,528.31
  5. Step 5: Solve for x
    x = 84,529,528.31/10,574.00
  6. Step 6: Final answer
    x = 7,994.10

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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.