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Finding the Fourth Proportional to 7,341.68, 11,013.22 and 2,411.34

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Solution

The fourth proportional to 7,341.68, 11,013.22 and 2,411.34 is: 3,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.68 : 11,013.22 = 2,411.34 : x
  2. Step 2: Convert to fraction form
    7,341.68/11,013.22 = 2,411.34/x
  3. Step 3: Cross multiply
    7,341.68x = 11,013.22 × 2,411.34
  4. Step 4: Simplify right side
    7,341.68x = 26,556,617.91
  5. Step 5: Solve for x
    x = 26,556,617.91/7,341.68
  6. Step 6: Final answer
    x = 3,617.24

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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.