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Finding the Fourth Proportional to 10,605.50, 15,905.62 and 3,585.36

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Solution

The fourth proportional to 10,605.50, 15,905.62 and 3,585.36 is: 5,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.50 : 15,905.62 = 3,585.36 : x
  2. Step 2: Convert to fraction form
    10,605.50/15,905.62 = 3,585.36/x
  3. Step 3: Cross multiply
    10,605.50x = 15,905.62 × 3,585.36
  4. Step 4: Simplify right side
    10,605.50x = 57,027,373.72
  5. Step 5: Solve for x
    x = 57,027,373.72/10,605.50
  6. Step 6: Final answer
    x = 5,377.15

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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.