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Finding the Fourth Proportional to 10,349.70, 15,528.06 and 6,456.84

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Solution

The fourth proportional to 10,349.70, 15,528.06 and 6,456.84 is: 9,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.70 : 15,528.06 = 6,456.84 : x
  2. Step 2: Convert to fraction form
    10,349.70/15,528.06 = 6,456.84/x
  3. Step 3: Cross multiply
    10,349.70x = 15,528.06 × 6,456.84
  4. Step 4: Simplify right side
    10,349.70x = 100,262,198.93
  5. Step 5: Solve for x
    x = 100,262,198.93/10,349.70
  6. Step 6: Final answer
    x = 9,687.45

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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.