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Finding the Fourth Proportional to 10,497.24, 15,747.54 and 3,477.51

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Solution

The fourth proportional to 10,497.24, 15,747.54 and 3,477.51 is: 5,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.24 : 15,747.54 = 3,477.51 : x
  2. Step 2: Convert to fraction form
    10,497.24/15,747.54 = 3,477.51/x
  3. Step 3: Cross multiply
    10,497.24x = 15,747.54 × 3,477.51
  4. Step 4: Simplify right side
    10,497.24x = 54,762,227.83
  5. Step 5: Solve for x
    x = 54,762,227.83/10,497.24
  6. Step 6: Final answer
    x = 5,216.82

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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.