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Finding the Fourth Proportional to 10,201.16, 14,095.86 and 7,968.68

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Solution

The fourth proportional to 10,201.16, 14,095.86 and 7,968.68 is: 11,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.16 : 14,095.86 = 7,968.68 : x
  2. Step 2: Convert to fraction form
    10,201.16/14,095.86 = 7,968.68/x
  3. Step 3: Cross multiply
    10,201.16x = 14,095.86 × 7,968.68
  4. Step 4: Simplify right side
    10,201.16x = 112,325,397.66
  5. Step 5: Solve for x
    x = 112,325,397.66/10,201.16
  6. Step 6: Final answer
    x = 11,011.04

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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.