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Finding the Fourth Proportional to 6,701.84, 10,045.44 and 5,724.96

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Solution

The fourth proportional to 6,701.84, 10,045.44 and 5,724.96 is: 8,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.84 : 10,045.44 = 5,724.96 : x
  2. Step 2: Convert to fraction form
    6,701.84/10,045.44 = 5,724.96/x
  3. Step 3: Cross multiply
    6,701.84x = 10,045.44 × 5,724.96
  4. Step 4: Simplify right side
    6,701.84x = 57,509,742.18
  5. Step 5: Solve for x
    x = 57,509,742.18/6,701.84
  6. Step 6: Final answer
    x = 8,581.19

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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.