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Finding the Fourth Proportional to 10,900.24, 15,041.94 and 6,185.44

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Solution

The fourth proportional to 10,900.24, 15,041.94 and 6,185.44 is: 8,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.24 : 15,041.94 = 6,185.44 : x
  2. Step 2: Convert to fraction form
    10,900.24/15,041.94 = 6,185.44/x
  3. Step 3: Cross multiply
    10,900.24x = 15,041.94 × 6,185.44
  4. Step 4: Simplify right side
    10,900.24x = 93,041,017.35
  5. Step 5: Solve for x
    x = 93,041,017.35/10,900.24
  6. Step 6: Final answer
    x = 8,535.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.