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Finding the Fourth Proportional to 10,980.94, 16,473 and 3,583.86

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Solution

The fourth proportional to 10,980.94, 16,473 and 3,583.86 is: 5,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.94 : 16,473 = 3,583.86 : x
  2. Step 2: Convert to fraction form
    10,980.94/16,473 = 3,583.86/x
  3. Step 3: Cross multiply
    10,980.94x = 16,473 × 3,583.86
  4. Step 4: Simplify right side
    10,980.94x = 59,036,925.78
  5. Step 5: Solve for x
    x = 59,036,925.78/10,980.94
  6. Step 6: Final answer
    x = 5,376.31

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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.