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Finding the Fourth Proportional to 10,971.34, 16,459.11 and 5,708.86

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Solution

The fourth proportional to 10,971.34, 16,459.11 and 5,708.86 is: 8,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.34 : 16,459.11 = 5,708.86 : x
  2. Step 2: Convert to fraction form
    10,971.34/16,459.11 = 5,708.86/x
  3. Step 3: Cross multiply
    10,971.34x = 16,459.11 × 5,708.86
  4. Step 4: Simplify right side
    10,971.34x = 93,962,754.71
  5. Step 5: Solve for x
    x = 93,962,754.71/10,971.34
  6. Step 6: Final answer
    x = 8,564.38

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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.