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Finding the Fourth Proportional to 7,755.36, 11,632.68 and 4,466.40

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Solution

The fourth proportional to 7,755.36, 11,632.68 and 4,466.40 is: 6,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.36 : 11,632.68 = 4,466.40 : x
  2. Step 2: Convert to fraction form
    7,755.36/11,632.68 = 4,466.40/x
  3. Step 3: Cross multiply
    7,755.36x = 11,632.68 × 4,466.40
  4. Step 4: Simplify right side
    7,755.36x = 51,956,201.95
  5. Step 5: Solve for x
    x = 51,956,201.95/7,755.36
  6. Step 6: Final answer
    x = 6,699.39

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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.