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Finding the Fourth Proportional to 11,615.04, 16,027.20 and 6,897.60

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Solution

The fourth proportional to 11,615.04, 16,027.20 and 6,897.60 is: 9,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.04 : 16,027.20 = 6,897.60 : x
  2. Step 2: Convert to fraction form
    11,615.04/16,027.20 = 6,897.60/x
  3. Step 3: Cross multiply
    11,615.04x = 16,027.20 × 6,897.60
  4. Step 4: Simplify right side
    11,615.04x = 110,549,214.72
  5. Step 5: Solve for x
    x = 110,549,214.72/11,615.04
  6. Step 6: Final answer
    x = 9,517.76

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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.