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Finding the Fourth Proportional to 11,430.40, 15,771.20 and 7,900.80

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Solution

The fourth proportional to 11,430.40, 15,771.20 and 7,900.80 is: 10,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.40 : 15,771.20 = 7,900.80 : x
  2. Step 2: Convert to fraction form
    11,430.40/15,771.20 = 7,900.80/x
  3. Step 3: Cross multiply
    11,430.40x = 15,771.20 × 7,900.80
  4. Step 4: Simplify right side
    11,430.40x = 124,605,096.96
  5. Step 5: Solve for x
    x = 124,605,096.96/11,430.40
  6. Step 6: Final answer
    x = 10,901.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.