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Finding the Fourth Proportional to 7,707.38, 11,561.02 and 2,442.90

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Solution

The fourth proportional to 7,707.38, 11,561.02 and 2,442.90 is: 3,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.38 : 11,561.02 = 2,442.90 : x
  2. Step 2: Convert to fraction form
    7,707.38/11,561.02 = 2,442.90/x
  3. Step 3: Cross multiply
    7,707.38x = 11,561.02 × 2,442.90
  4. Step 4: Simplify right side
    7,707.38x = 28,242,415.76
  5. Step 5: Solve for x
    x = 28,242,415.76/7,707.38
  6. Step 6: Final answer
    x = 3,664.33

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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.