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Finding the Fourth Proportional to 10,497.72, 15,747.41 and 3,477.45

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Solution

The fourth proportional to 10,497.72, 15,747.41 and 3,477.45 is: 5,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.72 : 15,747.41 = 3,477.45 : x
  2. Step 2: Convert to fraction form
    10,497.72/15,747.41 = 3,477.45/x
  3. Step 3: Cross multiply
    10,497.72x = 15,747.41 × 3,477.45
  4. Step 4: Simplify right side
    10,497.72x = 54,760,830.90
  5. Step 5: Solve for x
    x = 54,760,830.90/10,497.72
  6. Step 6: Final answer
    x = 5,216.45

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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.