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Finding the Fourth Proportional to 11,242.34, 15,504.42 and 7,259.28

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Solution

The fourth proportional to 11,242.34, 15,504.42 and 7,259.28 is: 10,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.34 : 15,504.42 = 7,259.28 : x
  2. Step 2: Convert to fraction form
    11,242.34/15,504.42 = 7,259.28/x
  3. Step 3: Cross multiply
    11,242.34x = 15,504.42 × 7,259.28
  4. Step 4: Simplify right side
    11,242.34x = 112,550,926.02
  5. Step 5: Solve for x
    x = 112,550,926.02/11,242.34
  6. Step 6: Final answer
    x = 10,011.34

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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.