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Finding the Fourth Proportional to 7,759.17, 11,638.75 and 4,465.45

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Solution

The fourth proportional to 7,759.17, 11,638.75 and 4,465.45 is: 6,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.17 : 11,638.75 = 4,465.45 : x
  2. Step 2: Convert to fraction form
    7,759.17/11,638.75 = 4,465.45/x
  3. Step 3: Cross multiply
    7,759.17x = 11,638.75 × 4,465.45
  4. Step 4: Simplify right side
    7,759.17x = 51,972,256.19
  5. Step 5: Solve for x
    x = 51,972,256.19/7,759.17
  6. Step 6: Final answer
    x = 6,698.17

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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.