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Finding the Fourth Proportional to 7,266.00, 10,027.40 and 4,281.96

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Solution

The fourth proportional to 7,266.00, 10,027.40 and 4,281.96 is: 5,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.00 : 10,027.40 = 4,281.96 : x
  2. Step 2: Convert to fraction form
    7,266.00/10,027.40 = 4,281.96/x
  3. Step 3: Cross multiply
    7,266.00x = 10,027.40 × 4,281.96
  4. Step 4: Simplify right side
    7,266.00x = 42,936,886.27
  5. Step 5: Solve for x
    x = 42,936,886.27/7,266.00
  6. Step 6: Final answer
    x = 5,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.