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Finding the Fourth Proportional to 10,185.93, 15,278.90 and 5,803.65

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Solution

The fourth proportional to 10,185.93, 15,278.90 and 5,803.65 is: 8,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.93 : 15,278.90 = 5,803.65 : x
  2. Step 2: Convert to fraction form
    10,185.93/15,278.90 = 5,803.65/x
  3. Step 3: Cross multiply
    10,185.93x = 15,278.90 × 5,803.65
  4. Step 4: Simplify right side
    10,185.93x = 88,673,358.97
  5. Step 5: Solve for x
    x = 88,673,358.97/10,185.93
  6. Step 6: Final answer
    x = 8,705.48

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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.