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Finding the Fourth Proportional to 7,083.70, 10,624.14 and 6,732.46

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Solution

The fourth proportional to 7,083.70, 10,624.14 and 6,732.46 is: 10,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.70 : 10,624.14 = 6,732.46 : x
  2. Step 2: Convert to fraction form
    7,083.70/10,624.14 = 6,732.46/x
  3. Step 3: Cross multiply
    7,083.70x = 10,624.14 × 6,732.46
  4. Step 4: Simplify right side
    7,083.70x = 71,526,597.58
  5. Step 5: Solve for x
    x = 71,526,597.58/7,083.70
  6. Step 6: Final answer
    x = 10,097.35

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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.