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Finding the Fourth Proportional to 13,750.61, 18,975.83 and 7,782.17

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Solution

The fourth proportional to 13,750.61, 18,975.83 and 7,782.17 is: 10,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.61 : 18,975.83 = 7,782.17 : x
  2. Step 2: Convert to fraction form
    13,750.61/18,975.83 = 7,782.17/x
  3. Step 3: Cross multiply
    13,750.61x = 18,975.83 × 7,782.17
  4. Step 4: Simplify right side
    13,750.61x = 147,673,001.16
  5. Step 5: Solve for x
    x = 147,673,001.16/13,750.61
  6. Step 6: Final answer
    x = 10,739.38

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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.