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Finding the Fourth Proportional to 27,535, 41,302.36 and 7,813.59

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Solution

The fourth proportional to 27,535, 41,302.36 and 7,813.59 is: 11,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535 : 41,302.36 = 7,813.59 : x
  2. Step 2: Convert to fraction form
    27,535/41,302.36 = 7,813.59/x
  3. Step 3: Cross multiply
    27,535x = 41,302.36 × 7,813.59
  4. Step 4: Simplify right side
    27,535x = 322,719,707.07
  5. Step 5: Solve for x
    x = 322,719,707.07/27,535
  6. Step 6: Final answer
    x = 11,720.35

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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.