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Finding the Fourth Proportional to 10,832.66, 16,264.02 and 7,158.50

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Solution

The fourth proportional to 10,832.66, 16,264.02 and 7,158.50 is: 10,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.66 : 16,264.02 = 7,158.50 : x
  2. Step 2: Convert to fraction form
    10,832.66/16,264.02 = 7,158.50/x
  3. Step 3: Cross multiply
    10,832.66x = 16,264.02 × 7,158.50
  4. Step 4: Simplify right side
    10,832.66x = 116,425,905.85
  5. Step 5: Solve for x
    x = 116,425,905.85/10,832.66
  6. Step 6: Final answer
    x = 10,747.68

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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.