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Finding the Fourth Proportional to 11,728.54, 17,599.29 and 4,802.50

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Solution

The fourth proportional to 11,728.54, 17,599.29 and 4,802.50 is: 7,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.54 : 17,599.29 = 4,802.50 : x
  2. Step 2: Convert to fraction form
    11,728.54/17,599.29 = 4,802.50/x
  3. Step 3: Cross multiply
    11,728.54x = 17,599.29 × 4,802.50
  4. Step 4: Simplify right side
    11,728.54x = 84,520,590.23
  5. Step 5: Solve for x
    x = 84,520,590.23/11,728.54
  6. Step 6: Final answer
    x = 7,206.40

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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.