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Finding the Fourth Proportional to 10,085.77, 15,129.46 and 3,066.41

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Solution

The fourth proportional to 10,085.77, 15,129.46 and 3,066.41 is: 4,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.77 : 15,129.46 = 3,066.41 : x
  2. Step 2: Convert to fraction form
    10,085.77/15,129.46 = 3,066.41/x
  3. Step 3: Cross multiply
    10,085.77x = 15,129.46 × 3,066.41
  4. Step 4: Simplify right side
    10,085.77x = 46,393,075.37
  5. Step 5: Solve for x
    x = 46,393,075.37/10,085.77
  6. Step 6: Final answer
    x = 4,599.86

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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.