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Finding the Fourth Proportional to 10,711.40, 16,065.04 and 4,471.16

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Solution

The fourth proportional to 10,711.40, 16,065.04 and 4,471.16 is: 6,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.40 : 16,065.04 = 4,471.16 : x
  2. Step 2: Convert to fraction form
    10,711.40/16,065.04 = 4,471.16/x
  3. Step 3: Cross multiply
    10,711.40x = 16,065.04 × 4,471.16
  4. Step 4: Simplify right side
    10,711.40x = 71,829,364.25
  5. Step 5: Solve for x
    x = 71,829,364.25/10,711.40
  6. Step 6: Final answer
    x = 6,705.88

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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.