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Finding the Fourth Proportional to 10,508.02, 14,494.17 and 6,316.27

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Solution

The fourth proportional to 10,508.02, 14,494.17 and 6,316.27 is: 8,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.02 : 14,494.17 = 6,316.27 : x
  2. Step 2: Convert to fraction form
    10,508.02/14,494.17 = 6,316.27/x
  3. Step 3: Cross multiply
    10,508.02x = 14,494.17 × 6,316.27
  4. Step 4: Simplify right side
    10,508.02x = 91,549,091.15
  5. Step 5: Solve for x
    x = 91,549,091.15/10,508.02
  6. Step 6: Final answer
    x = 8,712.31

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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.