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Finding the Fourth Proportional to 7,406.65, 11,109.97 and 2,966.32

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Solution

The fourth proportional to 7,406.65, 11,109.97 and 2,966.32 is: 4,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.65 : 11,109.97 = 2,966.32 : x
  2. Step 2: Convert to fraction form
    7,406.65/11,109.97 = 2,966.32/x
  3. Step 3: Cross multiply
    7,406.65x = 11,109.97 × 2,966.32
  4. Step 4: Simplify right side
    7,406.65x = 32,955,670.66
  5. Step 5: Solve for x
    x = 32,955,670.66/7,406.65
  6. Step 6: Final answer
    x = 4,449.47

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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.