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Finding the Fourth Proportional to 10,410.31, 14,373.16 and 6,162.74

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Solution

The fourth proportional to 10,410.31, 14,373.16 and 6,162.74 is: 8,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.31 : 14,373.16 = 6,162.74 : x
  2. Step 2: Convert to fraction form
    10,410.31/14,373.16 = 6,162.74/x
  3. Step 3: Cross multiply
    10,410.31x = 14,373.16 × 6,162.74
  4. Step 4: Simplify right side
    10,410.31x = 88,578,055.76
  5. Step 5: Solve for x
    x = 88,578,055.76/10,410.31
  6. Step 6: Final answer
    x = 8,508.68

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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.