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Finding the Fourth Proportional to 7,411.91, 11,119.01 and 2,412.72

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Solution

The fourth proportional to 7,411.91, 11,119.01 and 2,412.72 is: 3,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.91 : 11,119.01 = 2,412.72 : x
  2. Step 2: Convert to fraction form
    7,411.91/11,119.01 = 2,412.72/x
  3. Step 3: Cross multiply
    7,411.91x = 11,119.01 × 2,412.72
  4. Step 4: Simplify right side
    7,411.91x = 26,827,045.74
  5. Step 5: Solve for x
    x = 26,827,045.74/7,411.91
  6. Step 6: Final answer
    x = 3,619.45

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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.