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Finding the Fourth Proportional to 11,903.40, 17,857.60 and 4,507.70

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Solution

The fourth proportional to 11,903.40, 17,857.60 and 4,507.70 is: 6,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.40 : 17,857.60 = 4,507.70 : x
  2. Step 2: Convert to fraction form
    11,903.40/17,857.60 = 4,507.70/x
  3. Step 3: Cross multiply
    11,903.40x = 17,857.60 × 4,507.70
  4. Step 4: Simplify right side
    11,903.40x = 80,496,602.96
  5. Step 5: Solve for x
    x = 80,496,602.96/11,903.40
  6. Step 6: Final answer
    x = 6,762.49

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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.