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Finding the Fourth Proportional to 7,158.66, 10,739.67 and 2,996.34

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Solution

The fourth proportional to 7,158.66, 10,739.67 and 2,996.34 is: 4,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.66 : 10,739.67 = 2,996.34 : x
  2. Step 2: Convert to fraction form
    7,158.66/10,739.67 = 2,996.34/x
  3. Step 3: Cross multiply
    7,158.66x = 10,739.67 × 2,996.34
  4. Step 4: Simplify right side
    7,158.66x = 32,179,702.81
  5. Step 5: Solve for x
    x = 32,179,702.81/7,158.66
  6. Step 6: Final answer
    x = 4,495.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.