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Finding the Fourth Proportional to 11,416.42, 15,750.21 and 7,165

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Solution

The fourth proportional to 11,416.42, 15,750.21 and 7,165 is: 9,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.42 : 15,750.21 = 7,165 : x
  2. Step 2: Convert to fraction form
    11,416.42/15,750.21 = 7,165/x
  3. Step 3: Cross multiply
    11,416.42x = 15,750.21 × 7,165
  4. Step 4: Simplify right side
    11,416.42x = 112,850,254.65
  5. Step 5: Solve for x
    x = 112,850,254.65/11,416.42
  6. Step 6: Final answer
    x = 9,884.91

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