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Finding the Fourth Proportional to 10,185.92, 15,280.64 and 3,260

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Solution

The fourth proportional to 10,185.92, 15,280.64 and 3,260 is: 4,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.92 : 15,280.64 = 3,260 : x
  2. Step 2: Convert to fraction form
    10,185.92/15,280.64 = 3,260/x
  3. Step 3: Cross multiply
    10,185.92x = 15,280.64 × 3,260
  4. Step 4: Simplify right side
    10,185.92x = 49,814,886.40
  5. Step 5: Solve for x
    x = 49,814,886.40/10,185.92
  6. Step 6: Final answer
    x = 4,890.56

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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.