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Finding the Fourth Proportional to 26,980.02, 40,470.03 and 7,258.61

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Solution

The fourth proportional to 26,980.02, 40,470.03 and 7,258.61 is: 10,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980.02 : 40,470.03 = 7,258.61 : x
  2. Step 2: Convert to fraction form
    26,980.02/40,470.03 = 7,258.61/x
  3. Step 3: Cross multiply
    26,980.02x = 40,470.03 × 7,258.61
  4. Step 4: Simplify right side
    26,980.02x = 293,756,265.63
  5. Step 5: Solve for x
    x = 293,756,265.63/26,980.02
  6. Step 6: Final answer
    x = 10,887.92

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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.