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Finding the Fourth Proportional to 10,357.84, 15,520.44 and 6,456.40

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Solution

The fourth proportional to 10,357.84, 15,520.44 and 6,456.40 is: 9,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.84 : 15,520.44 = 6,456.40 : x
  2. Step 2: Convert to fraction form
    10,357.84/15,520.44 = 6,456.40/x
  3. Step 3: Cross multiply
    10,357.84x = 15,520.44 × 6,456.40
  4. Step 4: Simplify right side
    10,357.84x = 100,206,168.82
  5. Step 5: Solve for x
    x = 100,206,168.82/10,357.84
  6. Step 6: Final answer
    x = 9,674.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.