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Finding the Fourth Proportional to 10,706.26, 16,048.70 and 5,158.02

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Solution

The fourth proportional to 10,706.26, 16,048.70 and 5,158.02 is: 7,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.26 : 16,048.70 = 5,158.02 : x
  2. Step 2: Convert to fraction form
    10,706.26/16,048.70 = 5,158.02/x
  3. Step 3: Cross multiply
    10,706.26x = 16,048.70 × 5,158.02
  4. Step 4: Simplify right side
    10,706.26x = 82,779,515.57
  5. Step 5: Solve for x
    x = 82,779,515.57/10,706.26
  6. Step 6: Final answer
    x = 7,731.88

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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.