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Finding the Fourth Proportional to 7,699.38, 11,530.50 and 4,402.48

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Solution

The fourth proportional to 7,699.38, 11,530.50 and 4,402.48 is: 6,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.38 : 11,530.50 = 4,402.48 : x
  2. Step 2: Convert to fraction form
    7,699.38/11,530.50 = 4,402.48/x
  3. Step 3: Cross multiply
    7,699.38x = 11,530.50 × 4,402.48
  4. Step 4: Simplify right side
    7,699.38x = 50,762,764.26
  5. Step 5: Solve for x
    x = 50,762,764.26/7,699.38
  6. Step 6: Final answer
    x = 6,593.10

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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.