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Finding the Fourth Proportional to 6,939, 10,402.32 and 2,555.40

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Solution

The fourth proportional to 6,939, 10,402.32 and 2,555.40 is: 3,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 10,402.32 = 2,555.40 : x
  2. Step 2: Convert to fraction form
    6,939/10,402.32 = 2,555.40/x
  3. Step 3: Cross multiply
    6,939x = 10,402.32 × 2,555.40
  4. Step 4: Simplify right side
    6,939x = 26,582,088.53
  5. Step 5: Solve for x
    x = 26,582,088.53/6,939
  6. Step 6: Final answer
    x = 3,830.82

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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.