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Finding the Fourth Proportional to 7,464.90, 11,177.91 and 3,985.14

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Solution

The fourth proportional to 7,464.90, 11,177.91 and 3,985.14 is: 5,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.90 : 11,177.91 = 3,985.14 : x
  2. Step 2: Convert to fraction form
    7,464.90/11,177.91 = 3,985.14/x
  3. Step 3: Cross multiply
    7,464.90x = 11,177.91 × 3,985.14
  4. Step 4: Simplify right side
    7,464.90x = 44,545,536.26
  5. Step 5: Solve for x
    x = 44,545,536.26/7,464.90
  6. Step 6: Final answer
    x = 5,967.33

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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.