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Finding the Fourth Proportional to 7,259.59, 10,013.46 and 5,765.14

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Solution

The fourth proportional to 7,259.59, 10,013.46 and 5,765.14 is: 7,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.59 : 10,013.46 = 5,765.14 : x
  2. Step 2: Convert to fraction form
    7,259.59/10,013.46 = 5,765.14/x
  3. Step 3: Cross multiply
    7,259.59x = 10,013.46 × 5,765.14
  4. Step 4: Simplify right side
    7,259.59x = 57,728,998.78
  5. Step 5: Solve for x
    x = 57,728,998.78/7,259.59
  6. Step 6: Final answer
    x = 7,952.10

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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.