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Finding the Fourth Proportional to 10,266.28, 15,424.08 and 6,575.68

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Solution

The fourth proportional to 10,266.28, 15,424.08 and 6,575.68 is: 9,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.28 : 15,424.08 = 6,575.68 : x
  2. Step 2: Convert to fraction form
    10,266.28/15,424.08 = 6,575.68/x
  3. Step 3: Cross multiply
    10,266.28x = 15,424.08 × 6,575.68
  4. Step 4: Simplify right side
    10,266.28x = 101,423,814.37
  5. Step 5: Solve for x
    x = 101,423,814.37/10,266.28
  6. Step 6: Final answer
    x = 9,879.32

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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.