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Finding the Fourth Proportional to 7,266.15, 10,027.50 and 5,145.46

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Solution

The fourth proportional to 7,266.15, 10,027.50 and 5,145.46 is: 7,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.15 : 10,027.50 = 5,145.46 : x
  2. Step 2: Convert to fraction form
    7,266.15/10,027.50 = 5,145.46/x
  3. Step 3: Cross multiply
    7,266.15x = 10,027.50 × 5,145.46
  4. Step 4: Simplify right side
    7,266.15x = 51,596,100.15
  5. Step 5: Solve for x
    x = 51,596,100.15/7,266.15
  6. Step 6: Final answer
    x = 7,100.89

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