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Finding the Fourth Proportional to 10,085.54, 15,128.36 and 3,511.71

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Solution

The fourth proportional to 10,085.54, 15,128.36 and 3,511.71 is: 5,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.54 : 15,128.36 = 3,511.71 : x
  2. Step 2: Convert to fraction form
    10,085.54/15,128.36 = 3,511.71/x
  3. Step 3: Cross multiply
    10,085.54x = 15,128.36 × 3,511.71
  4. Step 4: Simplify right side
    10,085.54x = 53,126,395.54
  5. Step 5: Solve for x
    x = 53,126,395.54/10,085.54
  6. Step 6: Final answer
    x = 5,267.58

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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.