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Finding the Fourth Proportional to 11,827.20, 16,323.48 and 7,114.08

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Solution

The fourth proportional to 11,827.20, 16,323.48 and 7,114.08 is: 9,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.20 : 16,323.48 = 7,114.08 : x
  2. Step 2: Convert to fraction form
    11,827.20/16,323.48 = 7,114.08/x
  3. Step 3: Cross multiply
    11,827.20x = 16,323.48 × 7,114.08
  4. Step 4: Simplify right side
    11,827.20x = 116,126,542.60
  5. Step 5: Solve for x
    x = 116,126,542.60/11,827.20
  6. Step 6: Final answer
    x = 9,818.60

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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.