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Finding the Fourth Proportional to 7,444.90, 11,178.96 and 6,416.47

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Solution

The fourth proportional to 7,444.90, 11,178.96 and 6,416.47 is: 9,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.90 : 11,178.96 = 6,416.47 : x
  2. Step 2: Convert to fraction form
    7,444.90/11,178.96 = 6,416.47/x
  3. Step 3: Cross multiply
    7,444.90x = 11,178.96 × 6,416.47
  4. Step 4: Simplify right side
    7,444.90x = 71,729,461.47
  5. Step 5: Solve for x
    x = 71,729,461.47/7,444.90
  6. Step 6: Final answer
    x = 9,634.71

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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.