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Finding the Fourth Proportional to 11,716.07, 17,569.46 and 5,053.07

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Solution

The fourth proportional to 11,716.07, 17,569.46 and 5,053.07 is: 7,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.07 : 17,569.46 = 5,053.07 : x
  2. Step 2: Convert to fraction form
    11,716.07/17,569.46 = 5,053.07/x
  3. Step 3: Cross multiply
    11,716.07x = 17,569.46 × 5,053.07
  4. Step 4: Simplify right side
    11,716.07x = 88,779,767.80
  5. Step 5: Solve for x
    x = 88,779,767.80/11,716.07
  6. Step 6: Final answer
    x = 7,577.61

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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.