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Finding the Fourth Proportional to 11,641.18, 17,457.99 and 5,065.42

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Solution

The fourth proportional to 11,641.18, 17,457.99 and 5,065.42 is: 7,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.18 : 17,457.99 = 5,065.42 : x
  2. Step 2: Convert to fraction form
    11,641.18/17,457.99 = 5,065.42/x
  3. Step 3: Cross multiply
    11,641.18x = 17,457.99 × 5,065.42
  4. Step 4: Simplify right side
    11,641.18x = 88,432,051.71
  5. Step 5: Solve for x
    x = 88,432,051.71/11,641.18
  6. Step 6: Final answer
    x = 7,596.49

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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.