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Finding the Fourth Proportional to 10,533.27, 15,798.62 and 6,584.88

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Solution

The fourth proportional to 10,533.27, 15,798.62 and 6,584.88 is: 9,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.27 : 15,798.62 = 6,584.88 : x
  2. Step 2: Convert to fraction form
    10,533.27/15,798.62 = 6,584.88/x
  3. Step 3: Cross multiply
    10,533.27x = 15,798.62 × 6,584.88
  4. Step 4: Simplify right side
    10,533.27x = 104,031,983.94
  5. Step 5: Solve for x
    x = 104,031,983.94/10,533.27
  6. Step 6: Final answer
    x = 9,876.51

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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.