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Finding the Fourth Proportional to 11,312.92, 15,575.43 and 9,716.41

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Solution

The fourth proportional to 11,312.92, 15,575.43 and 9,716.41 is: 13,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.92 : 15,575.43 = 9,716.41 : x
  2. Step 2: Convert to fraction form
    11,312.92/15,575.43 = 9,716.41/x
  3. Step 3: Cross multiply
    11,312.92x = 15,575.43 × 9,716.41
  4. Step 4: Simplify right side
    11,312.92x = 151,337,263.81
  5. Step 5: Solve for x
    x = 151,337,263.81/11,312.92
  6. Step 6: Final answer
    x = 13,377.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.