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Finding the Fourth Proportional to 7,262.59, 10,017.60 and 5,768.14

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Solution

The fourth proportional to 7,262.59, 10,017.60 and 5,768.14 is: 7,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.59 : 10,017.60 = 5,768.14 : x
  2. Step 2: Convert to fraction form
    7,262.59/10,017.60 = 5,768.14/x
  3. Step 3: Cross multiply
    7,262.59x = 10,017.60 × 5,768.14
  4. Step 4: Simplify right side
    7,262.59x = 57,782,919.26
  5. Step 5: Solve for x
    x = 57,782,919.26/7,262.59
  6. Step 6: Final answer
    x = 7,956.24

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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.