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Finding the Fourth Proportional to 7,768.63, 11,653.03 and 1,925.29

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Solution

The fourth proportional to 7,768.63, 11,653.03 and 1,925.29 is: 2,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.63 : 11,653.03 = 1,925.29 : x
  2. Step 2: Convert to fraction form
    7,768.63/11,653.03 = 1,925.29/x
  3. Step 3: Cross multiply
    7,768.63x = 11,653.03 × 1,925.29
  4. Step 4: Simplify right side
    7,768.63x = 22,435,462.13
  5. Step 5: Solve for x
    x = 22,435,462.13/7,768.63
  6. Step 6: Final answer
    x = 2,887.96

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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.