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Finding the Fourth Proportional to 10,201.61, 15,302.52 and 3,085.91

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Solution

The fourth proportional to 10,201.61, 15,302.52 and 3,085.91 is: 4,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.61 : 15,302.52 = 3,085.91 : x
  2. Step 2: Convert to fraction form
    10,201.61/15,302.52 = 3,085.91/x
  3. Step 3: Cross multiply
    10,201.61x = 15,302.52 × 3,085.91
  4. Step 4: Simplify right side
    10,201.61x = 47,222,180.37
  5. Step 5: Solve for x
    x = 47,222,180.37/10,201.61
  6. Step 6: Final answer
    x = 4,628.89

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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.