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Finding the Fourth Proportional to 6,920.63, 10,381.72 and 2,538.07

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Solution

The fourth proportional to 6,920.63, 10,381.72 and 2,538.07 is: 3,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.63 : 10,381.72 = 2,538.07 : x
  2. Step 2: Convert to fraction form
    6,920.63/10,381.72 = 2,538.07/x
  3. Step 3: Cross multiply
    6,920.63x = 10,381.72 × 2,538.07
  4. Step 4: Simplify right side
    6,920.63x = 26,349,532.08
  5. Step 5: Solve for x
    x = 26,349,532.08/6,920.63
  6. Step 6: Final answer
    x = 3,807.39

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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.