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Finding the Fourth Proportional to 7,412.86, 11,113.48 and 3,713.23

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Solution

The fourth proportional to 7,412.86, 11,113.48 and 3,713.23 is: 5,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.86 : 11,113.48 = 3,713.23 : x
  2. Step 2: Convert to fraction form
    7,412.86/11,113.48 = 3,713.23/x
  3. Step 3: Cross multiply
    7,412.86x = 11,113.48 × 3,713.23
  4. Step 4: Simplify right side
    7,412.86x = 41,266,907.34
  5. Step 5: Solve for x
    x = 41,266,907.34/7,412.86
  6. Step 6: Final answer
    x = 5,566.93

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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.