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Finding the Fourth Proportional to 7,297.82, 10,071.00 and 4,154

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Solution

The fourth proportional to 7,297.82, 10,071.00 and 4,154 is: 5,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.82 : 10,071.00 = 4,154 : x
  2. Step 2: Convert to fraction form
    7,297.82/10,071.00 = 4,154/x
  3. Step 3: Cross multiply
    7,297.82x = 10,071.00 × 4,154
  4. Step 4: Simplify right side
    7,297.82x = 41,834,913.23
  5. Step 5: Solve for x
    x = 41,834,913.23/7,297.82
  6. Step 6: Final answer
    x = 5,732.53

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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.