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Finding the Fourth Proportional to 11,573.12, 17,360 and 7,203.20

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Solution

The fourth proportional to 11,573.12, 17,360 and 7,203.20 is: 10,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.12 : 17,360 = 7,203.20 : x
  2. Step 2: Convert to fraction form
    11,573.12/17,360 = 7,203.20/x
  3. Step 3: Cross multiply
    11,573.12x = 17,360 × 7,203.20
  4. Step 4: Simplify right side
    11,573.12x = 125,047,552
  5. Step 5: Solve for x
    x = 125,047,552/11,573.12
  6. Step 6: Final answer
    x = 10,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.