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Finding the Fourth Proportional to 8,681.14, 11,971 and 7,426.35

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Solution

The fourth proportional to 8,681.14, 11,971 and 7,426.35 is: 10,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.14 : 11,971 = 7,426.35 : x
  2. Step 2: Convert to fraction form
    8,681.14/11,971 = 7,426.35/x
  3. Step 3: Cross multiply
    8,681.14x = 11,971 × 7,426.35
  4. Step 4: Simplify right side
    8,681.14x = 88,900,835.85
  5. Step 5: Solve for x
    x = 88,900,835.85/8,681.14
  6. Step 6: Final answer
    x = 10,240.69

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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.