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Finding the Fourth Proportional to 10,137.85, 15,206.77 and 7,382.06

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Solution

The fourth proportional to 10,137.85, 15,206.77 and 7,382.06 is: 11,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.85 : 15,206.77 = 7,382.06 : x
  2. Step 2: Convert to fraction form
    10,137.85/15,206.77 = 7,382.06/x
  3. Step 3: Cross multiply
    10,137.85x = 15,206.77 × 7,382.06
  4. Step 4: Simplify right side
    10,137.85x = 112,257,194.16
  5. Step 5: Solve for x
    x = 112,257,194.16/10,137.85
  6. Step 6: Final answer
    x = 11,073.08

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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.