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Finding the Fourth Proportional to 27,534, 41,300.87 and 7,812.59

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Solution

The fourth proportional to 27,534, 41,300.87 and 7,812.59 is: 11,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534 : 41,300.87 = 7,812.59 : x
  2. Step 2: Convert to fraction form
    27,534/41,300.87 = 7,812.59/x
  3. Step 3: Cross multiply
    27,534x = 41,300.87 × 7,812.59
  4. Step 4: Simplify right side
    27,534x = 322,666,828.14
  5. Step 5: Solve for x
    x = 322,666,828.14/27,534
  6. Step 6: Final answer
    x = 11,718.85

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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.