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Finding the Fourth Proportional to 11,543.15, 15,930.95 and 6,508.34

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Solution

The fourth proportional to 11,543.15, 15,930.95 and 6,508.34 is: 8,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.15 : 15,930.95 = 6,508.34 : x
  2. Step 2: Convert to fraction form
    11,543.15/15,930.95 = 6,508.34/x
  3. Step 3: Cross multiply
    11,543.15x = 15,930.95 × 6,508.34
  4. Step 4: Simplify right side
    11,543.15x = 103,684,039.12
  5. Step 5: Solve for x
    x = 103,684,039.12/11,543.15
  6. Step 6: Final answer
    x = 8,982.30

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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.