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Finding the Fourth Proportional to 10,980.64, 16,474.62 and 3,585.40

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Solution

The fourth proportional to 10,980.64, 16,474.62 and 3,585.40 is: 5,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.64 : 16,474.62 = 3,585.40 : x
  2. Step 2: Convert to fraction form
    10,980.64/16,474.62 = 3,585.40/x
  3. Step 3: Cross multiply
    10,980.64x = 16,474.62 × 3,585.40
  4. Step 4: Simplify right side
    10,980.64x = 59,068,102.55
  5. Step 5: Solve for x
    x = 59,068,102.55/10,980.64
  6. Step 6: Final answer
    x = 5,379.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.