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Finding the Fourth Proportional to 10,047.04, 13,832.52 and 8,627.92

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Solution

The fourth proportional to 10,047.04, 13,832.52 and 8,627.92 is: 11,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.04 : 13,832.52 = 8,627.92 : x
  2. Step 2: Convert to fraction form
    10,047.04/13,832.52 = 8,627.92/x
  3. Step 3: Cross multiply
    10,047.04x = 13,832.52 × 8,627.92
  4. Step 4: Simplify right side
    10,047.04x = 119,345,875.96
  5. Step 5: Solve for x
    x = 119,345,875.96/10,047.04
  6. Step 6: Final answer
    x = 11,878.71

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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.