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Finding the Fourth Proportional to 10,516.92, 15,774.30 and 3,497.40

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Solution

The fourth proportional to 10,516.92, 15,774.30 and 3,497.40 is: 5,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.92 : 15,774.30 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    10,516.92/15,774.30 = 3,497.40/x
  3. Step 3: Cross multiply
    10,516.92x = 15,774.30 × 3,497.40
  4. Step 4: Simplify right side
    10,516.92x = 55,169,036.82
  5. Step 5: Solve for x
    x = 55,169,036.82/10,516.92
  6. Step 6: Final answer
    x = 5,245.74

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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.