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Finding the Fourth Proportional to 10,484.92, 15,724.96 and 4,942.12

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Solution

The fourth proportional to 10,484.92, 15,724.96 and 4,942.12 is: 7,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.92 : 15,724.96 = 4,942.12 : x
  2. Step 2: Convert to fraction form
    10,484.92/15,724.96 = 4,942.12/x
  3. Step 3: Cross multiply
    10,484.92x = 15,724.96 × 4,942.12
  4. Step 4: Simplify right side
    10,484.92x = 77,714,639.32
  5. Step 5: Solve for x
    x = 77,714,639.32/10,484.92
  6. Step 6: Final answer
    x = 7,412.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.