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Finding the Fourth Proportional to 27,534.46, 41,303.26 and 7,811.46

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Solution

The fourth proportional to 27,534.46, 41,303.26 and 7,811.46 is: 11,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.46 : 41,303.26 = 7,811.46 : x
  2. Step 2: Convert to fraction form
    27,534.46/41,303.26 = 7,811.46/x
  3. Step 3: Cross multiply
    27,534.46x = 41,303.26 × 7,811.46
  4. Step 4: Simplify right side
    27,534.46x = 322,638,763.36
  5. Step 5: Solve for x
    x = 322,638,763.36/27,534.46
  6. Step 6: Final answer
    x = 11,717.64

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