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Finding the Fourth Proportional to 7,364.01, 11,042.32 and 3,411.87

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Solution

The fourth proportional to 7,364.01, 11,042.32 and 3,411.87 is: 5,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.01 : 11,042.32 = 3,411.87 : x
  2. Step 2: Convert to fraction form
    7,364.01/11,042.32 = 3,411.87/x
  3. Step 3: Cross multiply
    7,364.01x = 11,042.32 × 3,411.87
  4. Step 4: Simplify right side
    7,364.01x = 37,674,888.07
  5. Step 5: Solve for x
    x = 37,674,888.07/7,364.01
  6. Step 6: Final answer
    x = 5,116.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.