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Finding the Fourth Proportional to 10,029.16, 13,844.85 and 7,160.14

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Solution

The fourth proportional to 10,029.16, 13,844.85 and 7,160.14 is: 9,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.16 : 13,844.85 = 7,160.14 : x
  2. Step 2: Convert to fraction form
    10,029.16/13,844.85 = 7,160.14/x
  3. Step 3: Cross multiply
    10,029.16x = 13,844.85 × 7,160.14
  4. Step 4: Simplify right side
    10,029.16x = 99,131,029.67
  5. Step 5: Solve for x
    x = 99,131,029.67/10,029.16
  6. Step 6: Final answer
    x = 9,884.28

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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.