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Finding the Fourth Proportional to 7,109.72, 10,666.80 and 2,951.72

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Solution

The fourth proportional to 7,109.72, 10,666.80 and 2,951.72 is: 4,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.72 : 10,666.80 = 2,951.72 : x
  2. Step 2: Convert to fraction form
    7,109.72/10,666.80 = 2,951.72/x
  3. Step 3: Cross multiply
    7,109.72x = 10,666.80 × 2,951.72
  4. Step 4: Simplify right side
    7,109.72x = 31,485,406.90
  5. Step 5: Solve for x
    x = 31,485,406.90/7,109.72
  6. Step 6: Final answer
    x = 4,428.50

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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.