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Finding the Fourth Proportional to 11,810.64, 17,696.70 and 6,884.45

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Solution

The fourth proportional to 11,810.64, 17,696.70 and 6,884.45 is: 10,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.64 : 17,696.70 = 6,884.45 : x
  2. Step 2: Convert to fraction form
    11,810.64/17,696.70 = 6,884.45/x
  3. Step 3: Cross multiply
    11,810.64x = 17,696.70 × 6,884.45
  4. Step 4: Simplify right side
    11,810.64x = 121,831,957.83
  5. Step 5: Solve for x
    x = 121,831,957.83/11,810.64
  6. Step 6: Final answer
    x = 10,315.44

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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.