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Finding the Fourth Proportional to 10,497.54, 15,745.98 and 3,102.12

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Solution

The fourth proportional to 10,497.54, 15,745.98 and 3,102.12 is: 4,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.54 : 15,745.98 = 3,102.12 : x
  2. Step 2: Convert to fraction form
    10,497.54/15,745.98 = 3,102.12/x
  3. Step 3: Cross multiply
    10,497.54x = 15,745.98 × 3,102.12
  4. Step 4: Simplify right side
    10,497.54x = 48,845,919.48
  5. Step 5: Solve for x
    x = 48,845,919.48/10,497.54
  6. Step 6: Final answer
    x = 4,653.08

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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.