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Finding the Fourth Proportional to 7,757.16, 11,633.70 and 5,291.52

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Solution

The fourth proportional to 7,757.16, 11,633.70 and 5,291.52 is: 7,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.16 : 11,633.70 = 5,291.52 : x
  2. Step 2: Convert to fraction form
    7,757.16/11,633.70 = 5,291.52/x
  3. Step 3: Cross multiply
    7,757.16x = 11,633.70 × 5,291.52
  4. Step 4: Simplify right side
    7,757.16x = 61,559,956.22
  5. Step 5: Solve for x
    x = 61,559,956.22/7,757.16
  6. Step 6: Final answer
    x = 7,935.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.