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Finding the Fourth Proportional to 7,647.40, 11,600.72 and 7,647.40

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Solution

The fourth proportional to 7,647.40, 11,600.72 and 7,647.40 is: 11,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.40 : 11,600.72 = 7,647.40 : x
  2. Step 2: Convert to fraction form
    7,647.40/11,600.72 = 7,647.40/x
  3. Step 3: Cross multiply
    7,647.40x = 11,600.72 × 7,647.40
  4. Step 4: Simplify right side
    7,647.40x = 88,715,346.13
  5. Step 5: Solve for x
    x = 88,715,346.13/7,647.40
  6. Step 6: Final answer
    x = 11,600.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.