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Finding the Fourth Proportional to 8,971.07, 13,431 and 7,124.81

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Solution

The fourth proportional to 8,971.07, 13,431 and 7,124.81 is: 10,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.07 : 13,431 = 7,124.81 : x
  2. Step 2: Convert to fraction form
    8,971.07/13,431 = 7,124.81/x
  3. Step 3: Cross multiply
    8,971.07x = 13,431 × 7,124.81
  4. Step 4: Simplify right side
    8,971.07x = 95,693,323.11
  5. Step 5: Solve for x
    x = 95,693,323.11/8,971.07
  6. Step 6: Final answer
    x = 10,666.88

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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.