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Finding the Fourth Proportional to 27,438.78, 41,159.70 and 7,715.80

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Solution

The fourth proportional to 27,438.78, 41,159.70 and 7,715.80 is: 11,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.78 : 41,159.70 = 7,715.80 : x
  2. Step 2: Convert to fraction form
    27,438.78/41,159.70 = 7,715.80/x
  3. Step 3: Cross multiply
    27,438.78x = 41,159.70 × 7,715.80
  4. Step 4: Simplify right side
    27,438.78x = 317,580,013.26
  5. Step 5: Solve for x
    x = 317,580,013.26/27,438.78
  6. Step 6: Final answer
    x = 11,574.13

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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.