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Finding the Fourth Proportional to 11,534.88, 15,929.82 and 9,938.28

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Solution

The fourth proportional to 11,534.88, 15,929.82 and 9,938.28 is: 13,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.88 : 15,929.82 = 9,938.28 : x
  2. Step 2: Convert to fraction form
    11,534.88/15,929.82 = 9,938.28/x
  3. Step 3: Cross multiply
    11,534.88x = 15,929.82 × 9,938.28
  4. Step 4: Simplify right side
    11,534.88x = 158,315,011.51
  5. Step 5: Solve for x
    x = 158,315,011.51/11,534.88
  6. Step 6: Final answer
    x = 13,724.89

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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.