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Finding the Fourth Proportional to 12,284.53, 16,953.11 and 6,980.25

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Solution

The fourth proportional to 12,284.53, 16,953.11 and 6,980.25 is: 9,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.53 : 16,953.11 = 6,980.25 : x
  2. Step 2: Convert to fraction form
    12,284.53/16,953.11 = 6,980.25/x
  3. Step 3: Cross multiply
    12,284.53x = 16,953.11 × 6,980.25
  4. Step 4: Simplify right side
    12,284.53x = 118,336,946.08
  5. Step 5: Solve for x
    x = 118,336,946.08/12,284.53
  6. Step 6: Final answer
    x = 9,633.01

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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.