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Finding the Fourth Proportional to 7,775.64, 11,668.18 and 3,158.52

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Solution

The fourth proportional to 7,775.64, 11,668.18 and 3,158.52 is: 4,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.64 : 11,668.18 = 3,158.52 : x
  2. Step 2: Convert to fraction form
    7,775.64/11,668.18 = 3,158.52/x
  3. Step 3: Cross multiply
    7,775.64x = 11,668.18 × 3,158.52
  4. Step 4: Simplify right side
    7,775.64x = 36,854,179.89
  5. Step 5: Solve for x
    x = 36,854,179.89/7,775.64
  6. Step 6: Final answer
    x = 4,739.70

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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.