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Finding the Fourth Proportional to 27,009.10, 40,508.76 and 7,283.02

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Solution

The fourth proportional to 27,009.10, 40,508.76 and 7,283.02 is: 10,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.10 : 40,508.76 = 7,283.02 : x
  2. Step 2: Convert to fraction form
    27,009.10/40,508.76 = 7,283.02/x
  3. Step 3: Cross multiply
    27,009.10x = 40,508.76 × 7,283.02
  4. Step 4: Simplify right side
    27,009.10x = 295,026,109.26
  5. Step 5: Solve for x
    x = 295,026,109.26/27,009.10
  6. Step 6: Final answer
    x = 10,923.21

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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.