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Finding the Fourth Proportional to 10,971.14, 16,435.98 and 5,418

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Solution

The fourth proportional to 10,971.14, 16,435.98 and 5,418 is: 8,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.14 : 16,435.98 = 5,418 : x
  2. Step 2: Convert to fraction form
    10,971.14/16,435.98 = 5,418/x
  3. Step 3: Cross multiply
    10,971.14x = 16,435.98 × 5,418
  4. Step 4: Simplify right side
    10,971.14x = 89,050,139.64
  5. Step 5: Solve for x
    x = 89,050,139.64/10,971.14
  6. Step 6: Final answer
    x = 8,116.77

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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.