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Finding the Fourth Proportional to 10,085.60, 15,128.04 and 3,845.38

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Solution

The fourth proportional to 10,085.60, 15,128.04 and 3,845.38 is: 5,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.60 : 15,128.04 = 3,845.38 : x
  2. Step 2: Convert to fraction form
    10,085.60/15,128.04 = 3,845.38/x
  3. Step 3: Cross multiply
    10,085.60x = 15,128.04 × 3,845.38
  4. Step 4: Simplify right side
    10,085.60x = 58,172,986.82
  5. Step 5: Solve for x
    x = 58,172,986.82/10,085.60
  6. Step 6: Final answer
    x = 5,767.93

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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.