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Finding the Fourth Proportional to 7,782.83, 11,681.54 and 3,625.71

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Solution

The fourth proportional to 7,782.83, 11,681.54 and 3,625.71 is: 5,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.83 : 11,681.54 = 3,625.71 : x
  2. Step 2: Convert to fraction form
    7,782.83/11,681.54 = 3,625.71/x
  3. Step 3: Cross multiply
    7,782.83x = 11,681.54 × 3,625.71
  4. Step 4: Simplify right side
    7,782.83x = 42,353,828.06
  5. Step 5: Solve for x
    x = 42,353,828.06/7,782.83
  6. Step 6: Final answer
    x = 5,441.96

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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.