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Finding the Fourth Proportional to 10,508.52, 14,494.86 and 6,316.77

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Solution

The fourth proportional to 10,508.52, 14,494.86 and 6,316.77 is: 8,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.52 : 14,494.86 = 6,316.77 : x
  2. Step 2: Convert to fraction form
    10,508.52/14,494.86 = 6,316.77/x
  3. Step 3: Cross multiply
    10,508.52x = 14,494.86 × 6,316.77
  4. Step 4: Simplify right side
    10,508.52x = 91,560,696.80
  5. Step 5: Solve for x
    x = 91,560,696.80/10,508.52
  6. Step 6: Final answer
    x = 8,713.00

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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.