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Finding the Fourth Proportional to 7,697.36, 11,552.28 and 4,000.64

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Solution

The fourth proportional to 7,697.36, 11,552.28 and 4,000.64 is: 6,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.36 : 11,552.28 = 4,000.64 : x
  2. Step 2: Convert to fraction form
    7,697.36/11,552.28 = 4,000.64/x
  3. Step 3: Cross multiply
    7,697.36x = 11,552.28 × 4,000.64
  4. Step 4: Simplify right side
    7,697.36x = 46,216,513.46
  5. Step 5: Solve for x
    x = 46,216,513.46/7,697.36
  6. Step 6: Final answer
    x = 6,004.20

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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.