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Finding the Fourth Proportional to 11,616.32, 16,025.36 and 6,897.86

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Solution

The fourth proportional to 11,616.32, 16,025.36 and 6,897.86 is: 9,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.32 : 16,025.36 = 6,897.86 : x
  2. Step 2: Convert to fraction form
    11,616.32/16,025.36 = 6,897.86/x
  3. Step 3: Cross multiply
    11,616.32x = 16,025.36 × 6,897.86
  4. Step 4: Simplify right side
    11,616.32x = 110,540,575.11
  5. Step 5: Solve for x
    x = 110,540,575.11/11,616.32
  6. Step 6: Final answer
    x = 9,515.98

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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.