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Finding the Fourth Proportional to 10,124.01, 13,969.13 and 6,145.29

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Solution

The fourth proportional to 10,124.01, 13,969.13 and 6,145.29 is: 8,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.01 : 13,969.13 = 6,145.29 : x
  2. Step 2: Convert to fraction form
    10,124.01/13,969.13 = 6,145.29/x
  3. Step 3: Cross multiply
    10,124.01x = 13,969.13 × 6,145.29
  4. Step 4: Simplify right side
    10,124.01x = 85,844,324.17
  5. Step 5: Solve for x
    x = 85,844,324.17/10,124.01
  6. Step 6: Final answer
    x = 8,479.28

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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.