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Finding the Fourth Proportional to 6,740.64, 10,110.96 and 2,124

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Solution

The fourth proportional to 6,740.64, 10,110.96 and 2,124 is: 3,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.64 : 10,110.96 = 2,124 : x
  2. Step 2: Convert to fraction form
    6,740.64/10,110.96 = 2,124/x
  3. Step 3: Cross multiply
    6,740.64x = 10,110.96 × 2,124
  4. Step 4: Simplify right side
    6,740.64x = 21,475,679.04
  5. Step 5: Solve for x
    x = 21,475,679.04/6,740.64
  6. Step 6: Final answer
    x = 3,186.00

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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.