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Finding the Fourth Proportional to 10,606.79, 15,905.12 and 3,941.16

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Solution

The fourth proportional to 10,606.79, 15,905.12 and 3,941.16 is: 5,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.79 : 15,905.12 = 3,941.16 : x
  2. Step 2: Convert to fraction form
    10,606.79/15,905.12 = 3,941.16/x
  3. Step 3: Cross multiply
    10,606.79x = 15,905.12 × 3,941.16
  4. Step 4: Simplify right side
    10,606.79x = 62,684,603.03
  5. Step 5: Solve for x
    x = 62,684,603.03/10,606.79
  6. Step 6: Final answer
    x = 5,909.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.