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Finding the Fourth Proportional to 7,755.64, 11,612.16 and 5,417.98

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Solution

The fourth proportional to 7,755.64, 11,612.16 and 5,417.98 is: 8,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.64 : 11,612.16 = 5,417.98 : x
  2. Step 2: Convert to fraction form
    7,755.64/11,612.16 = 5,417.98/x
  3. Step 3: Cross multiply
    7,755.64x = 11,612.16 × 5,417.98
  4. Step 4: Simplify right side
    7,755.64x = 62,914,450.64
  5. Step 5: Solve for x
    x = 62,914,450.64/7,755.64
  6. Step 6: Final answer
    x = 8,112.09

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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.