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Finding the Fourth Proportional to 11,150.78, 15,389.64 and 6,903.20

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Solution

The fourth proportional to 11,150.78, 15,389.64 and 6,903.20 is: 9,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150.78 : 15,389.64 = 6,903.20 : x
  2. Step 2: Convert to fraction form
    11,150.78/15,389.64 = 6,903.20/x
  3. Step 3: Cross multiply
    11,150.78x = 15,389.64 × 6,903.20
  4. Step 4: Simplify right side
    11,150.78x = 106,237,762.85
  5. Step 5: Solve for x
    x = 106,237,762.85/11,150.78
  6. Step 6: Final answer
    x = 9,527.38

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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.