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Finding the Fourth Proportional to 10,164.17, 15,246.37 and 3,585.74

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Solution

The fourth proportional to 10,164.17, 15,246.37 and 3,585.74 is: 5,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.17 : 15,246.37 = 3,585.74 : x
  2. Step 2: Convert to fraction form
    10,164.17/15,246.37 = 3,585.74/x
  3. Step 3: Cross multiply
    10,164.17x = 15,246.37 × 3,585.74
  4. Step 4: Simplify right side
    10,164.17x = 54,669,561.36
  5. Step 5: Solve for x
    x = 54,669,561.36/10,164.17
  6. Step 6: Final answer
    x = 5,378.65

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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.