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Finding the Fourth Proportional to 10,735.33, 14,815.61 and 5,955.74

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Solution

The fourth proportional to 10,735.33, 14,815.61 and 5,955.74 is: 8,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.33 : 14,815.61 = 5,955.74 : x
  2. Step 2: Convert to fraction form
    10,735.33/14,815.61 = 5,955.74/x
  3. Step 3: Cross multiply
    10,735.33x = 14,815.61 × 5,955.74
  4. Step 4: Simplify right side
    10,735.33x = 88,237,921.10
  5. Step 5: Solve for x
    x = 88,237,921.10/10,735.33
  6. Step 6: Final answer
    x = 8,219.40

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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.