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Finding the Fourth Proportional to 10,955.90, 16,424.12 and 5,104.46

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Solution

The fourth proportional to 10,955.90, 16,424.12 and 5,104.46 is: 7,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.90 : 16,424.12 = 5,104.46 : x
  2. Step 2: Convert to fraction form
    10,955.90/16,424.12 = 5,104.46/x
  3. Step 3: Cross multiply
    10,955.90x = 16,424.12 × 5,104.46
  4. Step 4: Simplify right side
    10,955.90x = 83,836,263.58
  5. Step 5: Solve for x
    x = 83,836,263.58/10,955.90
  6. Step 6: Final answer
    x = 7,652.16

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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.