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Finding the Fourth Proportional to 10,168.76, 14,016.14 and 6,810.36

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Solution

The fourth proportional to 10,168.76, 14,016.14 and 6,810.36 is: 9,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.76 : 14,016.14 = 6,810.36 : x
  2. Step 2: Convert to fraction form
    10,168.76/14,016.14 = 6,810.36/x
  3. Step 3: Cross multiply
    10,168.76x = 14,016.14 × 6,810.36
  4. Step 4: Simplify right side
    10,168.76x = 95,454,959.21
  5. Step 5: Solve for x
    x = 95,454,959.21/10,168.76
  6. Step 6: Final answer
    x = 9,387.08

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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.