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Finding the Fourth Proportional to 11,108.80, 15,330.24 and 7,130

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Solution

The fourth proportional to 11,108.80, 15,330.24 and 7,130 is: 9,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108.80 : 15,330.24 = 7,130 : x
  2. Step 2: Convert to fraction form
    11,108.80/15,330.24 = 7,130/x
  3. Step 3: Cross multiply
    11,108.80x = 15,330.24 × 7,130
  4. Step 4: Simplify right side
    11,108.80x = 109,304,611.20
  5. Step 5: Solve for x
    x = 109,304,611.20/11,108.80
  6. Step 6: Final answer
    x = 9,839.46

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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.