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Finding the Fourth Proportional to 10,056.92, 13,874.74 and 7,410.64

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Solution

The fourth proportional to 10,056.92, 13,874.74 and 7,410.64 is: 10,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.92 : 13,874.74 = 7,410.64 : x
  2. Step 2: Convert to fraction form
    10,056.92/13,874.74 = 7,410.64/x
  3. Step 3: Cross multiply
    10,056.92x = 13,874.74 × 7,410.64
  4. Step 4: Simplify right side
    10,056.92x = 102,820,703.23
  5. Step 5: Solve for x
    x = 102,820,703.23/10,056.92
  6. Step 6: Final answer
    x = 10,223.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.