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Finding the Fourth Proportional to 10,095.44, 13,922.02 and 7,701.16

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Solution

The fourth proportional to 10,095.44, 13,922.02 and 7,701.16 is: 10,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.44 : 13,922.02 = 7,701.16 : x
  2. Step 2: Convert to fraction form
    10,095.44/13,922.02 = 7,701.16/x
  3. Step 3: Cross multiply
    10,095.44x = 13,922.02 × 7,701.16
  4. Step 4: Simplify right side
    10,095.44x = 107,215,703.54
  5. Step 5: Solve for x
    x = 107,215,703.54/10,095.44
  6. Step 6: Final answer
    x = 10,620.21

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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.