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Finding the Fourth Proportional to 27,526.13, 41,290.75 and 7,803.13

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Solution

The fourth proportional to 27,526.13, 41,290.75 and 7,803.13 is: 11,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.13 : 41,290.75 = 7,803.13 : x
  2. Step 2: Convert to fraction form
    27,526.13/41,290.75 = 7,803.13/x
  3. Step 3: Cross multiply
    27,526.13x = 41,290.75 × 7,803.13
  4. Step 4: Simplify right side
    27,526.13x = 322,196,883.59
  5. Step 5: Solve for x
    x = 322,196,883.59/27,526.13
  6. Step 6: Final answer
    x = 11,705.13

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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.