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Finding the Fourth Proportional to 7,538.38, 11,282.18 and 6,881.38

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Solution

The fourth proportional to 7,538.38, 11,282.18 and 6,881.38 is: 10,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.38 : 11,282.18 = 6,881.38 : x
  2. Step 2: Convert to fraction form
    7,538.38/11,282.18 = 6,881.38/x
  3. Step 3: Cross multiply
    7,538.38x = 11,282.18 × 6,881.38
  4. Step 4: Simplify right side
    7,538.38x = 77,636,967.81
  5. Step 5: Solve for x
    x = 77,636,967.81/7,538.38
  6. Step 6: Final answer
    x = 10,298.89

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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.