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Finding the Fourth Proportional to 7,614.34, 11,403.24 and 4,486.93

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Solution

The fourth proportional to 7,614.34, 11,403.24 and 4,486.93 is: 6,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.34 : 11,403.24 = 4,486.93 : x
  2. Step 2: Convert to fraction form
    7,614.34/11,403.24 = 4,486.93/x
  3. Step 3: Cross multiply
    7,614.34x = 11,403.24 × 4,486.93
  4. Step 4: Simplify right side
    7,614.34x = 51,165,539.65
  5. Step 5: Solve for x
    x = 51,165,539.65/7,614.34
  6. Step 6: Final answer
    x = 6,719.63

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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.