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Finding the Fourth Proportional to 7,065.34, 10,599.72 and 2,134.69

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Solution

The fourth proportional to 7,065.34, 10,599.72 and 2,134.69 is: 3,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.34 : 10,599.72 = 2,134.69 : x
  2. Step 2: Convert to fraction form
    7,065.34/10,599.72 = 2,134.69/x
  3. Step 3: Cross multiply
    7,065.34x = 10,599.72 × 2,134.69
  4. Step 4: Simplify right side
    7,065.34x = 22,627,116.29
  5. Step 5: Solve for x
    x = 22,627,116.29/7,065.34
  6. Step 6: Final answer
    x = 3,202.55

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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.