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Finding the Fourth Proportional to 10,957.86, 15,122.91 and 6,483.05

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Solution

The fourth proportional to 10,957.86, 15,122.91 and 6,483.05 is: 8,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.86 : 15,122.91 = 6,483.05 : x
  2. Step 2: Convert to fraction form
    10,957.86/15,122.91 = 6,483.05/x
  3. Step 3: Cross multiply
    10,957.86x = 15,122.91 × 6,483.05
  4. Step 4: Simplify right side
    10,957.86x = 98,042,549.26
  5. Step 5: Solve for x
    x = 98,042,549.26/10,957.86
  6. Step 6: Final answer
    x = 8,947.24

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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.