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Finding the Fourth Proportional to 11,520.18, 15,899.14 and 6,485.64

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Solution

The fourth proportional to 11,520.18, 15,899.14 and 6,485.64 is: 8,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.18 : 15,899.14 = 6,485.64 : x
  2. Step 2: Convert to fraction form
    11,520.18/15,899.14 = 6,485.64/x
  3. Step 3: Cross multiply
    11,520.18x = 15,899.14 × 6,485.64
  4. Step 4: Simplify right side
    11,520.18x = 103,116,098.35
  5. Step 5: Solve for x
    x = 103,116,098.35/11,520.18
  6. Step 6: Final answer
    x = 8,950.91

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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.