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Finding the Fourth Proportional to 10,980.63, 16,471.47 and 3,585.06

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Solution

The fourth proportional to 10,980.63, 16,471.47 and 3,585.06 is: 5,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.63 : 16,471.47 = 3,585.06 : x
  2. Step 2: Convert to fraction form
    10,980.63/16,471.47 = 3,585.06/x
  3. Step 3: Cross multiply
    10,980.63x = 16,471.47 × 3,585.06
  4. Step 4: Simplify right side
    10,980.63x = 59,051,208.24
  5. Step 5: Solve for x
    x = 59,051,208.24/10,980.63
  6. Step 6: Final answer
    x = 5,377.76

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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.