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Finding the Fourth Proportional to 7,389.09, 11,040.44 and 7,130.84

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Solution

The fourth proportional to 7,389.09, 11,040.44 and 7,130.84 is: 10,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.09 : 11,040.44 = 7,130.84 : x
  2. Step 2: Convert to fraction form
    7,389.09/11,040.44 = 7,130.84/x
  3. Step 3: Cross multiply
    7,389.09x = 11,040.44 × 7,130.84
  4. Step 4: Simplify right side
    7,389.09x = 78,727,520.31
  5. Step 5: Solve for x
    x = 78,727,520.31/7,389.09
  6. Step 6: Final answer
    x = 10,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.