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Finding the Fourth Proportional to 10,541.22, 14,543.04 and 8,119.32

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Solution

The fourth proportional to 10,541.22, 14,543.04 and 8,119.32 is: 11,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.22 : 14,543.04 = 8,119.32 : x
  2. Step 2: Convert to fraction form
    10,541.22/14,543.04 = 8,119.32/x
  3. Step 3: Cross multiply
    10,541.22x = 14,543.04 × 8,119.32
  4. Step 4: Simplify right side
    10,541.22x = 118,079,595.53
  5. Step 5: Solve for x
    x = 118,079,595.53/10,541.22
  6. Step 6: Final answer
    x = 11,201.70

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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.