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Finding the Fourth Proportional to 7,763.46, 11,645.33 and 2,569.47

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Solution

The fourth proportional to 7,763.46, 11,645.33 and 2,569.47 is: 3,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.46 : 11,645.33 = 2,569.47 : x
  2. Step 2: Convert to fraction form
    7,763.46/11,645.33 = 2,569.47/x
  3. Step 3: Cross multiply
    7,763.46x = 11,645.33 × 2,569.47
  4. Step 4: Simplify right side
    7,763.46x = 29,922,313.23
  5. Step 5: Solve for x
    x = 29,922,313.23/7,763.46
  6. Step 6: Final answer
    x = 3,854.25

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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.